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31415130600 = 23352710696997
BaseRepresentation
bin11101010000011111…
…001101100111101000
310000002101002222121120
4131100133031213220
51003314233134400
622233143135240
72161332130020
oct352037154750
9100071088546
1031415130600
1112361027657
126108a44520
132c68610799
141740378a80
15c3ceabca0
hex7507cd9e8

31415130600 has 192 divisors, whose sum is σ = 111419356800. Its totient is φ = 7172858880.

The previous prime is 31415130583. The next prime is 31415130623. The reversal of 31415130600 is 603151413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4486302 + ... + 4493298.

It is an arithmetic number, because the mean of its divisors is an integer number (580309150).

Almost surely, 231415130600 is an apocalyptic number.

31415130600 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 31415130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55709678400).

31415130600 is an abundant number, since it is smaller than the sum of its proper divisors (80004226200).

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

31415130600 is a wasteful number, since it uses less digits than its factorization.

31415130600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 31415130600 in words is "thirty-one billion, four hundred fifteen million, one hundred thirty thousand, six hundred".