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10100100431 = 83823147859
BaseRepresentation
bin10010110100000001…
…10100110101001111
3222001220010021002202
421122000310311033
5131141111203211
64350120112115
7505201302641
oct113200646517
928056107082
1010100100431
114313274a43
121b5a60563b
13c4c6678b5
146bb57c891
153e1a8253b
hex25a034d4f

10100100431 has 8 divisors (see below), whose sum is σ = 10234277760. Its totient is φ = 9966220632.

The previous prime is 10100100407. The next prime is 10100100443. The reversal of 10100100431 is 13400100101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100100431 is a prime.

It is a super-2 number, since 2×101001004312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5621 + ... + 142238.

It is an arithmetic number, because the mean of its divisors is an integer number (1279284720).

Almost surely, 210100100431 is an apocalyptic number.

10100100431 is a deficient number, since it is larger than the sum of its proper divisors (134177329).

10100100431 is an equidigital number, since it uses as much as digits as its factorization.

10100100431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148765.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10100100431 its reverse (13400100101), we get a palindrome (23500200532).

The spelling of 10100100431 in words is "ten billion, one hundred million, one hundred thousand, four hundred thirty-one".

Divisors: 1 83 823 68309 147859 12272297 121687957 10100100431