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130315587220 = 2257213311811823
BaseRepresentation
bin111100101011101101…
…0100000111010010100
3110110100220202201220101
41321113122200322110
54113341242242340
6135511031143444
712262225133500
oct1712732407224
9413326681811
10130315587220
11502a282a515
122130a514b84
13c39a39c330
146443379300
1535ca900c9a
hex1e576a0e94

130315587220 has 288 divisors, whose sum is σ = 356039663616. Its totient is φ = 39670041600.

The previous prime is 130315587211. The next prime is 130315587257. The reversal of 130315587220 is 22785513031.

It is a self number, because there is not a number n which added to its sum of digits gives 130315587220.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 71483229 + ... + 71485051.

It is an arithmetic number, because the mean of its divisors is an integer number (1236248832).

Almost surely, 2130315587220 is an apocalyptic number.

130315587220 is a gapful number since it is divisible by the number (10) 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 130315587220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178019831808).

130315587220 is an abundant number, since it is smaller than the sum of its proper divisors (225724076396).

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

130315587220 is a wasteful number, since it uses less digits than its factorization.

130315587220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 130315587220 in words is "one hundred thirty billion, three hundred fifteen million, five hundred eighty-seven thousand, two hundred twenty".