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10133121141 = 37111332401
BaseRepresentation
bin10010110111111101…
…10010100001110101
3222011012020220000000
421123332302201311
5131223034334031
64353255541513
7506052052143
oct113376624165
928135226000
1010133121141
11432a978990
121b6968a899
13c56459790
146c1ad6593
153e49063e6
hex25bfb2875

10133121141 has 64 divisors (see below), whose sum is σ = 17854798080. Its totient is φ = 5668704000.

The previous prime is 10133121107. The next prime is 10133121149. The reversal of 10133121141 is 14112133101.

It is a happy number.

It is not a de Polignac number, because 10133121141 - 210 = 10133120117 is a prime.

It is a super-2 number, since 2×101331211412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133121149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296541 + ... + 328941.

It is an arithmetic number, because the mean of its divisors is an integer number (278981220).

Almost surely, 210133121141 is an apocalyptic number.

10133121141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133121141 is a deficient number, since it is larger than the sum of its proper divisors (7721676939).

10133121141 is an equidigital number, since it uses as much as digits as its factorization.

10133121141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32446 (or 32428 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10133121141 its reverse (14112133101), we get a palindrome (24245254242).

The spelling of 10133121141 in words is "ten billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 243 297 351 429 729 891 1053 1287 2187 2673 3159 3861 8019 9477 11583 24057 28431 32401 34749 97203 104247 291609 312741 356411 421213 874827 1069233 1263639 2624481 3207699 3790917 4633343 7873443 9623097 11372751 13900029 23620329 28869291 34118253 41700087 70860987 86607873 102354759 125100261 259823619 307064277 375300783 779470857 921192831 1125902349 3377707047 10133121141