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10400124071 is a prime number
BaseRepresentation
bin10011010111110010…
…10100110010100111
3222211210200001011102
421223321110302213
5132244412432241
64435554430315
7515503411301
oct115371246247
928753601142
1010400124071
114457665167
122022b9239b
13c9987338c
1470935a971
1540d09839b
hex26be54ca7

10400124071 has 2 divisors, whose sum is σ = 10400124072. Its totient is φ = 10400124070.

The previous prime is 10400124019. The next prime is 10400124109. The reversal of 10400124071 is 17042100401.

10400124071 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10400124071 - 226 = 10333015207 is a prime.

It is a super-2 number, since 2×104001240712 (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 (10400124871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200062035 + 5200062036.

It is an arithmetic number, because the mean of its divisors is an integer number (5200062036).

Almost surely, 210400124071 is an apocalyptic number.

10400124071 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400124071 is an equidigital number, since it uses as much as digits as its factorization.

10400124071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 10400124071 its reverse (17042100401), we get a palindrome (27442224472).

The spelling of 10400124071 in words is "ten billion, four hundred million, one hundred twenty-four thousand, seventy-one".