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10100213431 = 711131171603
BaseRepresentation
bin10010110100000010…
…10000011010110111
3222001220100000002221
421122001100122313
5131141123312211
64350122343211
7505202253250
oct113201203267
928056300087
1010100213431
114313341930
121b5a65ab07
13c4c6a7169
146bb5abb27
153e1aa5c71
hex25a0506b7

10100213431 has 8 divisors (see below), whose sum is σ = 12592473984. Its totient is φ = 7870296120.

The previous prime is 10100213407. The next prime is 10100213449. The reversal of 10100213431 is 13431200101.

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

It is a cyclic number.

It is not a de Polignac number, because 10100213431 - 213 = 10100205239 is a prime.

It is a super-2 number, since 2×101002134312 (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 (10100213471) 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, 65585725 + ... + 65585878.

It is an arithmetic number, because the mean of its divisors is an integer number (1574059248).

Almost surely, 210100213431 is an apocalyptic number.

10100213431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100213431 is a deficient number, since it is larger than the sum of its proper divisors (2492260553).

10100213431 is a wasteful number, since it uses less digits than its factorization.

10100213431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131171621.

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

Adding to 10100213431 its reverse (13431200101), we get a palindrome (23531413532).

The spelling of 10100213431 in words is "ten billion, one hundred million, two hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 7 11 77 131171603 918201221 1442887633 10100213431