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31412041300 = 2252314120413
BaseRepresentation
bin11101010000010011…
…011011011001010100
310000002011022000220001
4131100103123121110
51003312440310200
622232553021044
72161263642223
oct352023333124
9100064260801
1031412041300
111235a307612
1261079b4784
132c67a9b5b3
14173dbb2cba
15c3ca9b76a
hex7504db654

31412041300 has 18 divisors (see below), whose sum is σ = 68164129838. Its totient is φ = 12564816480.

The previous prime is 31412041291. The next prime is 31412041303. The reversal of 31412041300 is 314021413.

It can be written as a sum of positive squares in 3 ways, for example, as 150544 + 31411890756 = 388^2 + 177234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31412041303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157060107 + ... + 157060306.

Almost surely, 231412041300 is an apocalyptic number.

It is an amenable number.

31412041300 is an abundant number, since it is smaller than the sum of its proper divisors (36752088538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31412041300 is a wasteful number, since it uses less digits than its factorization.

31412041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314120427 (or 314120420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 31412041300 its reverse (314021413), we get a palindrome (31726062713).

The spelling of 31412041300 in words is "thirty-one billion, four hundred twelve million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 314120413 628240826 1256481652 1570602065 3141204130 6282408260 7853010325 15706020650 31412041300