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10030431112 = 23131792692003
BaseRepresentation
bin10010101011101110…
…00011101110001000
3221220001000200202121
421111313003232020
5131020242243422
64335150541024
7503364154252
oct112567035610
927801020677
1010030431112
114287a0a399
121b3b207774
13c3b0b3750
146b2204cd2
153da8be8c7
hex255dc3b88

10030431112 has 64 divisors (see below), whose sum is σ = 20452824000. Its totient is φ = 4584163584.

The previous prime is 10030431079. The next prime is 10030431119. The reversal of 10030431112 is 21113403001.

10030431112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10030431119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5006703 + ... + 5008705.

It is an arithmetic number, because the mean of its divisors is an integer number (319575375).

Almost surely, 210030431112 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 10030431112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10226412000).

10030431112 is an abundant number, since it is smaller than the sum of its proper divisors (10422392888).

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

10030431112 is a wasteful number, since it uses less digits than its factorization.

10030431112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10030431112 its reverse (21113403001), we get a palindrome (31143834113).

The spelling of 10030431112 in words is "ten billion, thirty million, four hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 179 269 358 538 716 1076 1432 2003 2152 2327 3497 4006 4654 6994 8012 9308 13988 16024 18616 26039 27976 48151 52078 96302 104156 192604 208312 358537 385208 538807 625963 717074 1077614 1251926 1434148 2155228 2503852 2868296 4310456 4660981 5007704 7004491 9321962 14008982 18643924 28017964 37287848 56035928 96446453 192892906 385785812 771571624 1253803889 2507607778 5015215556 10030431112