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131421441010320 = 24335471399313219
BaseRepresentation
bin11101111000011011110000…
…010011101010101010010000
3122020022202201012001021001000
4131320123300103222222100
5114211202102344312240
61143302102043542000
736452612552014626
oct3570336023525220
9566282635037030
10131421441010320
113896957a33395a
12128a643282a900
135843cb1273ac6
142464b901d9516
15102d88ec1a430
hex7786f04eaa90

131421441010320 has 320 divisors, whose sum is σ = 465631197696000. Its totient is φ = 34053297329664.

The previous prime is 131421441010253. The next prime is 131421441010331. The reversal of 131421441010320 is 23010144124131.

It is a happy number.

131421441010320 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 214 + 410 + 1 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9454671 + ... + 18767889.

It is an arithmetic number, because the mean of its divisors is an integer number (1455097492800).

Almost surely, 2131421441010320 is an apocalyptic number.

131421441010320 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 131421441010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232815598848000).

131421441010320 is an abundant number, since it is smaller than the sum of its proper divisors (334209756685680).

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

131421441010320 is a wasteful number, since it uses less digits than its factorization.

131421441010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313427 (or 9313415 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131421441010320 its reverse (23010144124131), we get a palindrome (154431585134451).

The spelling of 131421441010320 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, four hundred forty-one million, ten thousand, three hundred twenty".