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133041135320112 = 243191135412386247
BaseRepresentation
bin11110010000000000001101…
…100111000111110000110000
3122110001121102110122100010110
4132100000031213013300300
5114414221221120220422
61150542130454101320
740010622233336535
oct3620001547076060
9573047373570113
10133041135320112
1139433479570828
1212b0831b04a840
135930957433996
1424bd322356d8c
15105aa8a2d560c
hex79000d9c7c30

133041135320112 has 160 divisors (see below), whose sum is σ = 365654898731520. Its totient is φ = 41564205527040.

The previous prime is 133041135320081. The next prime is 133041135320141. The reversal of 133041135320112 is 211023531140331.

It is a self number, because there is not a number n which added to its sum of digits gives 133041135320112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54560173 + ... + 56946419.

It is an arithmetic number, because the mean of its divisors is an integer number (2285343117072).

Almost surely, 2133041135320112 is an apocalyptic number.

133041135320112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133041135320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182827449365760).

133041135320112 is an abundant number, since it is smaller than the sum of its proper divisors (232613763411408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133041135320112 is a wasteful number, since it uses less digits than its factorization.

133041135320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386931 (or 2386925 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 133041135320112 its reverse (211023531140331), we get a palindrome (344064666460443).

The spelling of 133041135320112 in words is "one hundred thirty-three trillion, forty-one billion, one hundred thirty-five million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 113 114 152 226 228 304 339 452 456 541 678 904 912 1082 1356 1623 1808 2147 2164 2712 3246 4294 4328 5424 6441 6492 8588 8656 10279 12882 12984 17176 20558 25764 25968 30837 34352 41116 51528 61133 61674 82232 103056 122266 123348 164464 183399 244532 246696 366798 489064 493392 733596 978128 1161527 1467192 2323054 2386247 2934384 3484581 4646108 4772494 6969162 7158741 9292216 9544988 13938324 14317482 18584432 19089976 27876648 28634964 38179952 45338693 55753296 57269928 90677386 114539856 136016079 181354772 269645911 272032158 362709544 539291822 544064316 725419088 808937733 1078583644 1088128632 1290959627 1617875466 2157167288 2176257264 2581919254 3235750932 3872878881 4314334576 5123272309 5163838508 6471501864 7745757762 10246544618 10327677016 12943003728 15369816927 15491515524 20493089236 20655354032 24528232913 30739633854 30983031048 40986178472 49056465826 61479267708 61966062096 73584698739 81972356944 98112931652 122958535416 145878437851 147169397478 196225863304 245917070832 291756875702 294338794956 392451726608 437635313553 583513751404 588677589912 875270627106 1167027502808 1177355179824 1750541254212 2334055005616 2771690319169 3501082508424 5543380638338 7002165016848 8315070957507 11086761276676 16630141915014 22173522553352 33260283830028 44347045106704 66520567660056 133041135320112