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130311233212320 = 25325235374236187
BaseRepresentation
bin11101101000010001110010…
…110001000000111110100000
3122002101122001220012121220200
4131220101302301000332200
5114040004401200243240
61141052053141505200
736306450560312226
oct3550216261007640
9562348056177820
10130311233212320
1138580757a3a176
1212747234412200
1357933b1723894
14242715115ab16
15100ea63011930
hex768472c40fa0

130311233212320 has 288 divisors, whose sum is σ = 472776429670272. Its totient is φ = 32611659565056.

The previous prime is 130311233212319. The next prime is 130311233212327. The reversal of 130311233212320 is 23212332113031.

130311233212320 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 1 + 1 + 2 + 332 + 1 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (130311233212327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35362734 + ... + 38873453.

It is an arithmetic number, because the mean of its divisors is an integer number (1641584825244).

Almost surely, 2130311233212320 is an apocalyptic number.

130311233212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130311233212320 is an abundant number, since it is smaller than the sum of its proper divisors (342465196457952).

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

130311233212320 is a wasteful number, since it uses less digits than its factorization.

130311233212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74236284 (or 74236273 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 130311233212320 its reverse (23212332113031), we get a palindrome (153523565325351).

The spelling of 130311233212320 in words is "one hundred thirty trillion, three hundred eleven billion, two hundred thirty-three million, two hundred twelve thousand, three hundred twenty".