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31006740400 = 245277516851
BaseRepresentation
bin11100111000001001…
…010100111110110000
32222000220122121120121
4130320021110332300
51002000211143100
622124434020024
72145242642026
oct347011247660
988026577517
1031006740400
1112171550a99
126014117614
132c01b2228c
14170202c716
15c171dc51a
hex738254fb0

31006740400 has 30 divisors (see below), whose sum is σ = 74493694772. Its totient is φ = 12402696000.

The previous prime is 31006740397. The next prime is 31006740403. The reversal of 31006740400 is 404760013.

It is an interprime number because it is at equal distance from previous prime (31006740397) and next prime (31006740403).

It is a super-2 number, since 2×310067404002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (31006740403) 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, 38758026 + ... + 38758825.

Almost surely, 231006740400 is an apocalyptic number.

It is an amenable number.

31006740400 is an abundant number, since it is smaller than the sum of its proper divisors (43486954372).

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

31006740400 is a wasteful number, since it uses less digits than its factorization.

31006740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77516869 (or 77516858 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The spelling of 31006740400 in words is "thirty-one billion, six million, seven hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 77516851 155033702 310067404 387584255 620134808 775168510 1240269616 1550337020 1937921275 3100674040 3875842550 6201348080 7751685100 15503370200 31006740400