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131382001376 = 254578983999
BaseRepresentation
bin111101001011011111…
…0100011111011100000
3110120010020102012002222
41322112332203323200
54123032243021001
6140204524130212
712330524404613
oct1722676437340
9416106365088
10131382001376
115079a79522a
1221567696968
13c50a2c0b22
146504c5417a
15363e35061b
hex1e96fa3ee0

131382001376 has 24 divisors (see below), whose sum is σ = 259224336000. Its totient is φ = 65547249408.

The previous prime is 131382001369. The next prime is 131382001403. The reversal of 131382001376 is 673100283131.

It is a super-2 number, since 2×1313820013762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4477376 + ... + 4506623.

It is an arithmetic number, because the mean of its divisors is an integer number (10801014000).

Almost surely, 2131382001376 is an apocalyptic number.

131382001376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131382001376 is a deficient number, since it is larger than the sum of its proper divisors (127842334624).

131382001376 is an equidigital number, since it uses as much as digits as its factorization.

131382001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984466 (or 8984458 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 131382001376 in words is "one hundred thirty-one billion, three hundred eighty-two million, one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 457 914 1828 3656 7312 14624 8983999 17967998 35935996 71871992 143743984 287487968 4105687543 8211375086 16422750172 32845500344 65691000688 131382001376