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31130000001000 = 2333533559323957
BaseRepresentation
bin1110001010000000001001…
…00101111000011111101000
311002012222222020001110222000
413011000010211320133220
513040013220000013000
6150112531412531000
76362032264045425
oct705000445703750
9132188866043860
1031130000001000
119a121824968aa
1235a9252020a60
13144a7145acbb4
147989b2c9cd4c
1538eb693a4000
hex1c50049787e8

31130000001000 has 256 divisors, whose sum is σ = 107947988928000. Its totient is φ = 8298975225600.

The previous prime is 31130000000963. The next prime is 31130000001047. The reversal of 31130000001000 is 10000003113.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 63 ways as a sum of consecutive naturals, for example, 95931022 + ... + 96254978.

It is an arithmetic number, because the mean of its divisors is an integer number (421671831750).

Almost surely, 231130000001000 is an apocalyptic number.

31130000001000 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 31130000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53973994464000).

31130000001000 is an abundant number, since it is smaller than the sum of its proper divisors (76817988927000).

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

31130000001000 is a wasteful number, since it uses less digits than its factorization.

31130000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327546 (or 327526 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 31130000001000 its reverse (10000003113), we get a palindrome (31140000004113).

The spelling of 31130000001000 in words is "thirty-one trillion, one hundred thirty billion, one thousand".