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10400130101 is a prime number
BaseRepresentation
bin10011010111110010…
…10110010000110101
3222211210200100102202
421223321112100311
5132244413130401
64435554514245
7515503435004
oct115371262065
928753610382
1010400130101
114457669749
122022b95985
13c9987604a
1470935cc3b
1540d09a06b
hex26be56435

10400130101 has 2 divisors, whose sum is σ = 10400130102. Its totient is φ = 10400130100.

The previous prime is 10400130067. The next prime is 10400130121. The reversal of 10400130101 is 10103100401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7568826001 + 2831304100 = 86999^2 + 53210^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10400130101 is a prime.

It is a super-2 number, since 2×104001301012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400130121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200065050 + 5200065051.

It is an arithmetic number, because the mean of its divisors is an integer number (5200065051).

Almost surely, 210400130101 is an apocalyptic number.

It is an amenable number.

10400130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400130101 is an equidigital number, since it uses as much as digits as its factorization.

10400130101 is an evil number, because the sum of its binary digits is even.

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

Adding to 10400130101 its reverse (10103100401), we get a palindrome (20503230502).

The spelling of 10400130101 in words is "ten billion, four hundred million, one hundred thirty thousand, one hundred one".