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131010331032 = 23327349744817
BaseRepresentation
bin111101000000011010…
…0110000000110011000
3110112011100001101020200
41322000310300012120
54121302121043112
6140104010022200
712315362303610
oct1720064600630
9415140041220
10131010331032
1150619a09859
1221483117960
13c47b2bb149
1464ab745a40
15361b8d5cdc
hex1e80d30198

131010331032 has 96 divisors (see below), whose sum is σ = 406670628000. Its totient is φ = 37324219392.

The previous prime is 131010330991. The next prime is 131010331033. The reversal of 131010331032 is 230133010131.

It is a happy number.

131010331032 is a `hidden beast` number, since 1 + 310 + 10 + 3 + 310 + 32 = 666.

It is a super-2 number, since 2×1310103310322 (a number of 23 digits) contains 22 as substring.

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 = 131010330996 and 131010331014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010331033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196513 + ... + 548304.

It is an arithmetic number, because the mean of its divisors is an integer number (4236152375).

Almost surely, 2131010331032 is an apocalyptic number.

131010331032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131010331032 is an abundant number, since it is smaller than the sum of its proper divisors (275660296968).

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

131010331032 is a wasteful number, since it uses less digits than its factorization.

131010331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745185 (or 745178 counting only the distinct ones).

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

Adding to 131010331032 its reverse (230133010131), we get a palindrome (361143341163).

The spelling of 131010331032 in words is "one hundred thirty-one billion, ten million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 349 504 698 1047 1396 2094 2443 2792 3141 4188 4886 6282 7329 8376 9772 12564 14658 19544 21987 25128 29316 43974 58632 87948 175896 744817 1489634 2234451 2979268 4468902 5213719 5958536 6703353 8937804 10427438 13406706 15641157 17875608 20854876 26813412 31282314 41709752 46923471 53626824 62564628 93846942 125129256 187693884 259941133 375387768 519882266 779823399 1039764532 1559646798 1819587931 2079529064 2339470197 3119293596 3639175862 4678940394 5458763793 6238587192 7278351724 9357880788 10917527586 14556703448 16376291379 18715761576 21835055172 32752582758 43670110344 65505165516 131010331032