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10133132022 = 2331319759719
BaseRepresentation
bin10010110111111101…
…10101001011110110
3222011012021102221000
421123332311023312
5131223040211042
64353300104130
7506052125646
oct113376651366
928135242830
1010133132022
11432a986082
121b69695046
13c56461710
146c1ada526
153e490974c
hex25bfb52f6

10133132022 has 64 divisors (see below), whose sum is σ = 25526592000. Its totient is φ = 2953783584.

The previous prime is 10133131993. The next prime is 10133132027. The reversal of 10133132022 is 22023133101.

10133132022 is a `hidden beast` number, since 10 + 1 + 331 + 320 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10133131986 and 10133132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133132027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366522 + ... + 393197.

It is an arithmetic number, because the mean of its divisors is an integer number (398853000).

Almost surely, 210133132022 is an apocalyptic number.

10133132022 is an abundant number, since it is smaller than the sum of its proper divisors (15393459978).

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

10133132022 is a wasteful number, since it uses less digits than its factorization.

10133132022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759762 (or 759756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10133132022 its reverse (22023133101), we get a palindrome (32156265123).

The spelling of 10133132022 in words is "ten billion, one hundred thirty-three million, one hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 759719 1519438 2279157 4558314 6837471 9876347 13674942 14434661 19752694 20512413 28869322 29629041 41024826 43303983 59258082 86607966 88887123 129911949 177774246 187650593 259823898 266661369 375301186 389735847 533322738 562951779 779471694 1125903558 1688855337 3377710674 5066566011 10133132022