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131355656320 = 2757234712071
BaseRepresentation
bin111101001010101101…
…0000100000010000000
3110120001101211201111011
41322111122010002000
54123004022000240
6140202143330304
712330054441100
oct1722532040200
9416041751434
10131355656320
1150786930859
122155a8b0994
13c5049c8635
146501557200
15363bd996ea
hex1e95684080

131355656320 has 192 divisors, whose sum is σ = 366374093760. Its totient is φ = 44902717440.

The previous prime is 131355656303. The next prime is 131355656417. The reversal of 131355656320 is 23656553131.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 10875885 + ... + 10887955.

It is an arithmetic number, because the mean of its divisors is an integer number (1908198405).

Almost surely, 2131355656320 is an apocalyptic number.

131355656320 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 131355656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183187046880).

131355656320 is an abundant number, since it is smaller than the sum of its proper divisors (235018437440).

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

131355656320 is a wasteful number, since it uses less digits than its factorization.

131355656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451 (or 12432 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 40.

The spelling of 131355656320 in words is "one hundred thirty-one billion, three hundred fifty-five million, six hundred fifty-six thousand, three hundred twenty".