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131013103032 = 23327298963677
BaseRepresentation
bin111101000000011111…
…1010100110110111000
3110112011112021012201100
41322000333110312320
54121303323244112
6140104145251400
712315425000340
oct1720077246670
9415145235640
10131013103032
1150620532469
1221484033b60
13c47ba4ba96
1464abc67d20
15361bc822dc
hex1e80fd4db8

131013103032 has 96 divisors (see below), whose sum is σ = 419500130400. Its totient is φ = 36141541632.

The previous prime is 131013103031. The next prime is 131013103157. The reversal of 131013103032 is 230301310131.

It is a happy number.

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 = 131013102996 and 131013103014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013103031) 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, 4467223 + ... + 4496454.

It is an arithmetic number, because the mean of its divisors is an integer number (4369793025).

Almost surely, 2131013103032 is an apocalyptic number.

131013103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131013103032 is an abundant number, since it is smaller than the sum of its proper divisors (288487027368).

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

131013103032 is a wasteful number, since it uses less digits than its factorization.

131013103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963725 (or 8963718 counting only the distinct ones).

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

Adding to 131013103032 its reverse (230301310131), we get a palindrome (361314413163).

The spelling of 131013103032 in words is "one hundred thirty-one billion, thirteen million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 14616 8963677 17927354 26891031 35854708 53782062 62745739 71709416 80673093 107564124 125491478 161346186 188237217 215128248 250982956 259946633 322692372 376474434 501965912 519893266 564711651 645384744 752948868 779839899 1039786532 1129423302 1505897736 1559679798 1819626431 2079573064 2258846604 2339519697 3119359596 3639252862 4517693208 4679039394 5458879293 6238719192 7278505724 9358078788 10917758586 14557011448 16376637879 18716157576 21835517172 32753275758 43671034344 65506551516 131013103032