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10131313032 = 2333268917443
BaseRepresentation
bin10010110111101111…
…11001000110001000
3222011001212000202000
421123313321012020
5131222104004112
64353153111000
7506030511531
oct113367710610
928131760660
1010131313032
114329953485
121b68b58460
13c55c757a9
146c1785688
153e469a7dc
hex25bdf9188

10131313032 has 64 divisors (see below), whose sum is σ = 28154616000. Its totient is φ = 3375654912.

The previous prime is 10131313001. The next prime is 10131313037. The reversal of 10131313032 is 23031313101.

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 = 10131312996 and 10131313014.

It is not an unprimeable number, because it can be changed into a prime (10131313037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572103 + ... + 589545.

It is an arithmetic number, because the mean of its divisors is an integer number (439915875).

Almost surely, 210131313032 is an apocalyptic number.

10131313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131313032 is an abundant number, since it is smaller than the sum of its proper divisors (18023302968).

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

10131313032 is a wasteful number, since it uses less digits than its factorization.

10131313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20147 (or 20137 counting only the distinct ones).

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

Adding to 10131313032 its reverse (23031313101), we get a palindrome (33162626133).

The spelling of 10131313032 in words is "ten billion, one hundred thirty-one million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2689 5378 8067 10756 16134 17443 21512 24201 32268 34886 48402 52329 64536 69772 72603 96804 104658 139544 145206 156987 193608 209316 290412 313974 418632 470961 580824 627948 941922 1255896 1883844 3767688 46904227 93808454 140712681 187616908 281425362 375233816 422138043 562850724 844276086 1125701448 1266414129 1688552172 2532828258 3377104344 5065656516 10131313032