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31307880000 = 2635417103149
BaseRepresentation
bin11101001010000110…
…000101011001000000
32222210220022002110010
4131022012011121000
51003104304130000
622214352304520
72155560406035
oct351206053100
988726262403
1031307880000
11123065336a1
126098b42140
132c4c32b9a7
14173001b38c
15c33873d50
hex74a185640

31307880000 has 560 divisors, whose sum is σ = 111406838400. Its totient is φ = 7729152000.

The previous prime is 31307879987. The next prime is 31307880061. The reversal of 31307880000 is 8870313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 31307880000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210119926 + ... + 210120074.

Almost surely, 231307880000 is an apocalyptic number.

31307880000 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 31307880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55703419200).

31307880000 is an abundant number, since it is smaller than the sum of its proper divisors (80098958400).

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

31307880000 is a wasteful number, since it uses less digits than its factorization.

31307880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 31307880000 in words is "thirty-one billion, three hundred seven million, eight hundred eighty thousand".