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31407065041 = 1122397711551
BaseRepresentation
bin11101010000000000…
…011100011111010001
310000001210221012202011
4131100000130133101
51003310202040131
622232254222521
72161203435202
oct352000343721
9100053835664
1031407065041
1112357518900
1261061b4a41
132c66a48571
14173d2795a9
15c3c4170b1
hex75001c7d1

31407065041 has 24 divisors (see below), whose sum is σ = 36062756352. Its totient is φ = 27280176000.

The previous prime is 31407065033. The next prime is 31407065149. The reversal of 31407065041 is 14056070413.

It is not a de Polignac number, because 31407065041 - 23 = 31407065033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31407064994 and 31407065012.

It is not an unprimeable number, because it can be changed into a prime (31407065441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2713216 + ... + 2724766.

It is an arithmetic number, because the mean of its divisors is an integer number (1502614848).

Almost surely, 231407065041 is an apocalyptic number.

It is an amenable number.

31407065041 is a deficient number, since it is larger than the sum of its proper divisors (4655691311).

31407065041 is a wasteful number, since it uses less digits than its factorization.

31407065041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12573 (or 12562 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 31407065041 in words is "thirty-one billion, four hundred seven million, sixty-five thousand, forty-one".

Divisors: 1 11 23 121 253 977 2783 10747 11551 22471 118217 127061 247181 265673 1397671 2718991 2922403 11285327 32146433 124138597 259562521 1365524567 2855187731 31407065041