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10031130112 = 2946741953
BaseRepresentation
bin10010101011110011…
…01110011000000000
3221220002100012121111
421111321232120000
5131020432130422
64335213533104
7503403125203
oct112571563000
927802305544
1010031130112
114288347583
121b3b4a4194
13c3b299963
146b234793a
153da9aba77
hex255e6e600

10031130112 has 40 divisors (see below), whose sum is σ = 20086064856. Its totient is φ = 5004705792.

The previous prime is 10031130089. The next prime is 10031130113. The reversal of 10031130112 is 21103113001.

It is a junction number, because it is equal to n+sod(n) for n = 10031130092 and 10031130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031130113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218128 + ... + 260080.

Almost surely, 210031130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10043032428).

10031130112 is an abundant number, since it is smaller than the sum of its proper divisors (10054934744).

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

10031130112 is an frugal number, since it uses more digits than its factorization.

10031130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42438 (or 42422 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10031130112 its reverse (21103113001), we get a palindrome (31134243113).

The spelling of 10031130112 in words is "ten billion, thirty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 467 512 934 1868 3736 7472 14944 29888 41953 59776 83906 119552 167812 239104 335624 671248 1342496 2684992 5369984 10739968 19592051 21479936 39184102 78368204 156736408 313472816 626945632 1253891264 2507782528 5015565056 10031130112