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31430520000 = 263254117937
BaseRepresentation
bin11101010001011001…
…111010110011000000
310000010110001211220100
4131101121322303000
51003332203120000
622234453042400
72161610004045
oct352131726300
9100113054810
1031430520000
1112369788970
126112026400
132c6b86b439
1417424231cc
15c3e4eba00
hex75167acc0

31430520000 has 420 divisors, whose sum is σ = 122826039336. Its totient is φ = 7618560000.

The previous prime is 31430519999. The next prime is 31430520001. The reversal of 31430520000 is 2503413.

31430520000 is a `hidden beast` number, since 3 + 143 + 0 + 520 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31430519999) and next prime (31430520001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31430520001) 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 59 ways as a sum of consecutive naturals, for example, 3956032 + ... + 3963968.

Almost surely, 231430520000 is an apocalyptic number.

31430520000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31430520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61413019668).

31430520000 is an abundant number, since it is smaller than the sum of its proper divisors (91395519336).

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

31430520000 is a wasteful number, since it uses less digits than its factorization.

31430520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 31430520000 in words is "thirty-one billion, four hundred thirty million, five hundred twenty thousand".