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31004011431 = 3223318954287
BaseRepresentation
bin11100110111111110…
…111010101110100111
32222000201111222010200
4130313332322232213
51001444011331211
622124255321543
72145210514611
oct346776725647
988021458120
1031004011431
111216aa57748
1260132202b3
132c013a80c3
14170191bdb1
15c16d4db56
hex737fbaba7

31004011431 has 48 divisors (see below), whose sum is σ = 48781025280. Its totient is φ = 18917585280.

The previous prime is 31004011427. The next prime is 31004011471. The reversal of 31004011431 is 13411040013.

It is not a de Polignac number, because 31004011431 - 22 = 31004011427 is a prime.

It is a super-2 number, since 2×310040114312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31004011411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543970 + ... + 598256.

It is an arithmetic number, because the mean of its divisors is an integer number (1016271360).

Almost surely, 231004011431 is an apocalyptic number.

31004011431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31004011431 is a deficient number, since it is larger than the sum of its proper divisors (17777013849).

31004011431 is a wasteful number, since it uses less digits than its factorization.

31004011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54436 (or 54433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31004011431 its reverse (13411040013), we get a palindrome (44415051444).

The spelling of 31004011431 in words is "thirty-one billion, four million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 9 23 31 69 89 93 207 267 279 713 801 2047 2139 2759 6141 6417 8277 18423 24831 54287 63457 162861 190371 488583 571113 1248601 1682897 3745803 4831543 5048691 11237409 14494629 15146073 38706631 43483887 111125489 116119893 149777833 333376467 348359679 449333499 1000129401 1348000497 3444890159 10334670477 31004011431