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10131330132 = 223271117214993
BaseRepresentation
bin10010110111101111…
…11101010001010100
3222011001212220012100
421123313331101110
5131222110031012
64353153322100
7506030612430
oct113367752124
928131786170
1010131330132
114329965310
121b68b66330
13c55c80501
146c178b9c0
153e46a08dc
hex25bdfd454

10131330132 has 144 divisors (see below), whose sum is σ = 33807376512. Its totient is φ = 2476707840.

The previous prime is 10131330109. The next prime is 10131330151. The reversal of 10131330132 is 23103313101.

It is a happy number.

It is a super-2 number, since 2×101313301322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60373 + ... + 154620.

It is an arithmetic number, because the mean of its divisors is an integer number (234773448).

Almost surely, 210131330132 is an apocalyptic number.

10131330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131330132 is an abundant number, since it is smaller than the sum of its proper divisors (23676046380).

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

10131330132 is a wasteful number, since it uses less digits than its factorization.

10131330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215038 (or 215033 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10131330132 its reverse (23103313101), we get a palindrome (33234643233).

The spelling of 10131330132 in words is "ten billion, one hundred thirty-one million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23562 47124 214993 429986 644979 859972 1289958 1504951 1934937 2364923 2579916 3009902 3654881 3869874 4514853 4729846 6019804 7094769 7309762 7739748 9029706 9459692 10964643 13544559 14189538 14619524 16554461 18059412 21284307 21929286 25584167 27089118 28379076 32893929 33108922 40203691 42568614 43858572 49663383 51168334 54178236 65787858 66217844 76752501 80407382 85137228 99326766 102336668 120611073 131575716 148990149 153505002 160814764 198653532 230257503 241222146 281425837 297980298 307010004 361833219 460515006 482444292 562851674 595960596 723666438 844277511 921030012 1125703348 1447332876 1688555022 2532832533 3377110044 5065665066 10131330132