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31000410405 = 3252577573541
BaseRepresentation
bin11100110111110001…
…001011100100100101
32222000110202000110100
4130313301023210211
51001442101113110
622124050214313
72145135066156
oct346761134445
988013660410
1031000410405
1112168a18198
126011b84399
132c00717013
14170126192d
15c1688bbc0
hex737c4b925

31000410405 has 48 divisors (see below), whose sum is σ = 54029639664. Its totient is φ = 16442818560.

The previous prime is 31000410383. The next prime is 31000410439. The reversal of 31000410405 is 50401400013.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2333179809 + 28667230596 = 48303^2 + 169314^2 .

It is not a de Polignac number, because 31000410405 - 212 = 31000406309 is a prime.

It is a super-2 number, since 2×310004104052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8752935 + ... + 8756475.

It is an arithmetic number, because the mean of its divisors is an integer number (1125617493).

Almost surely, 231000410405 is an apocalyptic number.

It is an amenable number.

31000410405 is a deficient number, since it is larger than the sum of its proper divisors (23029229259).

31000410405 is a wasteful number, since it uses less digits than its factorization.

31000410405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 31000410405 its reverse (50401400013), we get a palindrome (81401810418).

The spelling of 31000410405 in words is "thirty-one billion, four hundred ten thousand, four hundred five".

Divisors: 1 3 5 9 15 45 257 757 771 1285 2271 2313 3541 3785 3855 6813 10623 11355 11565 17705 31869 34065 53115 159345 194549 583647 910037 972745 1750941 2680537 2730111 2918235 4550185 8041611 8190333 8754705 13402685 13650555 24124833 40208055 40951665 120624165 688898009 2066694027 3444490045 6200082081 10333470135 31000410405