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10400000331 = 371034808137
BaseRepresentation
bin10011010111110001…
…10110100101001011
3222211210102202102110
421223320312211023
5132244400002311
64435552033403
7515502354450
oct115370664513
928753382373
1010400000331
1144575901a6
122022b32863
13c9982bc66
14709327827
1540d0718a6
hex26be3694b

10400000331 has 16 divisors (see below), whose sum is σ = 16001483264. Its totient is φ = 5885158464.

The previous prime is 10400000327. The next prime is 10400000333. The reversal of 10400000331 is 13300000401.

It is not a de Polignac number, because 10400000331 - 22 = 10400000327 is a prime.

It is a super-4 number, since 4×104000003314 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400000333) 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 in 15 ways as a sum of consecutive naturals, for example, 2401906 + ... + 2406231.

It is an arithmetic number, because the mean of its divisors is an integer number (1000092704).

Almost surely, 210400000331 is an apocalyptic number.

10400000331 is a deficient number, since it is larger than the sum of its proper divisors (5601482933).

10400000331 is a wasteful number, since it uses less digits than its factorization.

10400000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808250.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10400000331 its reverse (13300000401), we get a palindrome (23700000732).

The spelling of 10400000331 in words is "ten billion, four hundred million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 103 309 721 2163 4808137 14424411 33656959 100970877 495238111 1485714333 3466666777 10400000331