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10100234431 = 712853112261
BaseRepresentation
bin10010110100000010…
…10101100010111111
3222001220101001220201
421122001111202333
5131141130000211
64350123024331
7505202401420
oct113201254277
928056331821
1010100234431
114313356691
121b5a66b0a7
13c4c6b38a1
146bb5b5647
153e1aac0c1
hex25a0558bf

10100234431 has 8 divisors (see below), whose sum is σ = 11544125984. Its totient is φ = 8656593120.

The previous prime is 10100234399. The next prime is 10100234447. The reversal of 10100234431 is 13443200101.

10100234431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100234431 - 25 = 10100234399 is a prime.

It is a super-2 number, since 2×101002344312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100234399 and 10100234408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100234731) 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 7 ways as a sum of consecutive naturals, for example, 33841 + ... + 146101.

It is an arithmetic number, because the mean of its divisors is an integer number (1443015748).

Almost surely, 210100234431 is an apocalyptic number.

10100234431 is a deficient number, since it is larger than the sum of its proper divisors (1443891553).

10100234431 is a wasteful number, since it uses less digits than its factorization.

10100234431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125121.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10100234431 its reverse (13443200101), we get a palindrome (23543434532).

The spelling of 10100234431 in words is "ten billion, one hundred million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 7 12853 89971 112261 785827 1442890633 10100234431