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31431120324 = 22310325429709
BaseRepresentation
bin11101010001011100…
…001101010111000100
310000010111012100101120
4131101130031113010
51003332331322244
622234513553540
72161615054212
oct352134152704
9100114170346
1031431120324
111236a0589aa
1261122758b0
132c6ba1b766
14174253bcb2
15c3e5b9819
hex75170d5c4

31431120324 has 24 divisors (see below), whose sum is σ = 74051315520. Its totient is φ = 10375320864.

The previous prime is 31431120323. The next prime is 31431120349. The reversal of 31431120324 is 42302113413.

It is a happy number.

It is a super-3 number, since 3×314311203243 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31431120294 and 31431120303.

It is not an unprimeable number, because it can be changed into a prime (31431120323) 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 7 ways as a sum of consecutive naturals, for example, 12713619 + ... + 12716090.

It is an arithmetic number, because the mean of its divisors is an integer number (3085471480).

Almost surely, 231431120324 is an apocalyptic number.

It is an amenable number.

31431120324 is an abundant number, since it is smaller than the sum of its proper divisors (42620195196).

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

31431120324 is a wasteful number, since it uses less digits than its factorization.

31431120324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25429819 (or 25429817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31431120324 its reverse (42302113413), we get a palindrome (73733233737).

The spelling of 31431120324 in words is "thirty-one billion, four hundred thirty-one million, one hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 103 206 309 412 618 1236 25429709 50859418 76289127 101718836 152578254 305156508 2619260027 5238520054 7857780081 10477040108 15715560162 31431120324