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31431013530 = 23571983107887
BaseRepresentation
bin11101010001011011…
…110011010010011010
310000010110222220220020
4131101123303102122
51003332314413110
622234511411310
72161614130650
oct352133632232
9100113886806
1031431013530
1112369a95744
126112223b36
132c6b9b1c77
141742510dd0
15c3e597d70
hex7516f349a

31431013530 has 256 divisors, whose sum is σ = 92804382720. Its totient is φ = 6653760768.

The previous prime is 31431013519. The next prime is 31431013577. The reversal of 31431013530 is 3531013413.

It is a super-2 number, since 2×314310135302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31431013530.

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 127 ways as a sum of consecutive naturals, for example, 35434747 + ... + 35435633.

It is an arithmetic number, because the mean of its divisors is an integer number (362517120).

Almost surely, 231431013530 is an apocalyptic number.

31431013530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31431013530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46402191360).

31431013530 is an abundant number, since it is smaller than the sum of its proper divisors (61373369190).

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

31431013530 is a wasteful number, since it uses less digits than its factorization.

31431013530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 31431013530 its reverse (3531013413), we get a palindrome (34962026943).

The spelling of 31431013530 in words is "thirty-one billion, four hundred thirty-one million, thirteen thousand, five hundred thirty".