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130226559099120 = 243951117716229
BaseRepresentation
bin11101100111000010111011…
…110010111010000011110000
3122002002112111210221000000000
4131213002323302322003300
5114032112443112132440
61140545131053430000
736300362351240361
oct3547027362720360
9562075453830000
10130226559099120
1138548856680720
121273294319b300
135788409122a13
142422ddb711b68
15100c759510730
hex7670bbcba0f0

130226559099120 has 1600 divisors, whose sum is σ = 532062235837440. Its totient is φ = 29289815654400.

The previous prime is 130226559099113. The next prime is 130226559099163. The reversal of 130226559099120 is 21990955622031.

130226559099120 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 26 + 5 + 590 + 9 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20906492166 + ... + 20906498394.

Almost surely, 2130226559099120 is an apocalyptic number.

130226559099120 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 130226559099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266031117918720).

130226559099120 is an abundant number, since it is smaller than the sum of its proper divisors (401835676738320).

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

130226559099120 is an equidigital number, since it uses as much as digits as its factorization.

130226559099120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 130226559099120 in words is "one hundred thirty trillion, two hundred twenty-six billion, five hundred fifty-nine million, ninety-nine thousand, one hundred twenty".