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131031211032 = 23341719626033
BaseRepresentation
bin111101000001000010…
…0011001110000011000
3110112012210100012020000
41322002010121300120
54121322442223112
6140110033333000
712316034626341
oct1720204316030
9415183305200
10131031211032
115062a780257
122148a107160
13c48271bc87
1464b041d0c8
15361d65c7dc
hex1e82119c18

131031211032 has 160 divisors (see below), whose sum is σ = 409050615600. Its totient is φ = 38944198656.

The previous prime is 131031211027. The next prime is 131031211063. The reversal of 131031211032 is 230112130131.

131031211032 is a `hidden beast` number, since 1 + 310 + 312 + 1 + 10 + 32 = 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 = 131031210996 and 131031211014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103713 + ... + 522320.

Almost surely, 2131031211032 is an apocalyptic number.

131031211032 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 131031211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204525307800).

131031211032 is an abundant number, since it is smaller than the sum of its proper divisors (278019404568).

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

131031211032 is a wasteful number, since it uses less digits than its factorization.

131031211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626087 (or 626074 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131031211032 its reverse (230112130131), we get a palindrome (361143341163).

The spelling of 131031211032 in words is "one hundred thirty-one billion, thirty-one million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 204 216 228 306 323 324 342 408 456 459 513 612 646 648 684 918 969 1026 1224 1292 1368 1377 1539 1836 1938 2052 2584 2754 2907 3078 3672 3876 4104 5508 5814 6156 7752 8721 11016 11628 12312 17442 23256 26163 34884 52326 69768 104652 209304 626033 1252066 1878099 2504132 3756198 5008264 5634297 7512396 10642561 11268594 11894627 15024792 16902891 21285122 22537188 23789254 31927683 33805782 35683881 42570244 45074376 47578508 50708673 63855366 67611564 71367762 85140488 95157016 95783049 101417346 107051643 127710732 135223128 142735524 191566098 202208659 202834692 214103286 255421464 285471048 287349147 321154929 383132196 404417318 405669384 428206572 574698294 606625977 642309858 766264392 808834636 856413144 862047441 963464787 1149396588 1213251954 1284619716 1617669272 1724094882 1819877931 1926929574 2298793176 2426503908 2569239432 3448189764 3639755862 3853859148 4853007816 5459633793 6896379528 7279511724 7707718296 10919267586 14559023448 16378901379 21838535172 32757802758 43677070344 65515605516 131031211032