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131881876320 = 2535274753909
BaseRepresentation
bin111101011010011000…
…1011011101101100000
3110121102002000110121210
41322310301123231200
54130043230020240
6140330302150120
712346104311145
oct1726461335540
9417362013553
10131881876320
1150a26976717
1221686b82340
13c589a3100c
1465513b63cc
15366d191780
hex1eb4c5bb60

131881876320 has 48 divisors (see below), whose sum is σ = 415427911920. Its totient is φ = 35168500224.

The previous prime is 131881876267. The next prime is 131881876397. The reversal of 131881876320 is 23678188131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 131881876320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137376475 + ... + 137377434.

It is an arithmetic number, because the mean of its divisors is an integer number (8654748165).

Almost surely, 2131881876320 is an apocalyptic number.

131881876320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131881876320 is an abundant number, since it is smaller than the sum of its proper divisors (283546035600).

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

131881876320 is a wasteful number, since it uses less digits than its factorization.

131881876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274753927 (or 274753919 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 131881876320 in words is "one hundred thirty-one billion, eight hundred eighty-one million, eight hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 274753909 549507818 824261727 1099015636 1373769545 1648523454 2198031272 2747539090 3297046908 4121308635 4396062544 5495078180 6594093816 8242617270 8792125088 10990156360 13188187632 16485234540 21980312720 26376375264 32970469080 43960625440 65940938160 131881876320