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10131112404 = 22327223713517
BaseRepresentation
bin10010110111101110…
…01000000111010100
3222011001110211112100
421123313020013110
5131222031044104
64353144522100
7506026014600
oct113367100724
928131424470
1010131112404
114329826776
121b68a80330
13c55c0538a
146c1732500
153e465b139
hex25bdc81d4

10131112404 has 216 divisors, whose sum is σ = 31532312448. Its totient is φ = 2728978560.

The previous prime is 10131112399. The next prime is 10131112421. The reversal of 10131112404 is 40421113101.

10131112404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2878854 + ... + 2882370.

It is an arithmetic number, because the mean of its divisors is an integer number (145982928).

Almost surely, 210131112404 is an apocalyptic number.

10131112404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131112404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766156224).

10131112404 is an abundant number, since it is smaller than the sum of its proper divisors (21401200044).

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

10131112404 is a wasteful number, since it uses less digits than its factorization.

10131112404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10131112404 its reverse (40421113101), we get a palindrome (50552225505).

The spelling of 10131112404 in words is "ten billion, one hundred thirty-one million, one hundred twelve thousand, four hundred four".