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100142114200310 = 257131931318504503
BaseRepresentation
bin10110110001010000100111…
…001001001101101011110110
3111010120111022010020220122002
4112301100213021031223312
5101111212022213402220
6552552352511135302
730044012642000660
oct2661204711155366
9433514263226562
10100142114200310
11299aa0398482a6
12b294267514532
1343b548ca28430
141aa2c93145530
15b89dd5e10c75
hex5b142724daf6

100142114200310 has 128 divisors (see below), whose sum is σ = 234275902801920. Its totient is φ = 29929329570816.

The previous prime is 100142114200301. The next prime is 100142114200333. The reversal of 100142114200310 is 13002411241001.

It is a super-2 number, since 2×1001421142003102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3840482 + ... + 14664021.

It is an arithmetic number, because the mean of its divisors is an integer number (1830280490640).

Almost surely, 2100142114200310 is an apocalyptic number.

100142114200310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100142114200310 is an abundant number, since it is smaller than the sum of its proper divisors (134133788601610).

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

100142114200310 is a wasteful number, since it uses less digits than its factorization.

100142114200310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18504862.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100142114200310 its reverse (13002411241001), we get a palindrome (113144525441311).

The spelling of 100142114200310 in words is "one hundred trillion, one hundred forty-two billion, one hundred fourteen million, two hundred thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 65 70 91 95 130 133 182 190 247 266 313 455 494 626 665 910 1235 1330 1565 1729 2191 2470 3130 3458 4069 4382 5947 8138 8645 10955 11894 17290 20345 21910 28483 29735 40690 41629 56966 59470 77311 83258 142415 154622 208145 284830 386555 416290 541177 773110 1082354 2705885 5411770 18504503 37009006 92522515 129531521 185045030 240558539 259063042 351585557 481117078 647657605 703171114 1202792695 1295315210 1683909773 1757927785 2405585390 2461098899 3367819546 3515855570 4570612241 4922197798 5791909439 8419548865 9141224482 11583818878 12305494495 16839097730 22853061205 24610988990 28959547195 31994285687 40543366073 45706122410 57919094390 63988571374 75294822707 81086732146 110046279341 150589645414 159971428435 202716830365 220092558682 319942856870 376474113535 405433660730 527063758949 550231396705 752948227070 770323955387 1054127517898 1100462793410 1430601631433 1540647910774 2635318794745 2861203262866 3851619776935 5270637589490 7153008157165 7703239553870 10014211420031 14306016314330 20028422840062 50071057100155 100142114200310