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313982141 = 1141743937
BaseRepresentation
bin10010101101101…
…111110010111101
3210212210221112012
4102231233302331
51120334412031
651053421005
710531542554
oct2255576275
9725727465
10313982141
11151264480
128919a765
1350085065
142d9b2d9b
151c871b2b
hex12b6fcbd

313982141 has 16 divisors (see below), whose sum is σ = 351727488. Its totient is φ = 277804800.

The previous prime is 313982107. The next prime is 313982143. The reversal of 313982141 is 141289313.

It is a cyclic number.

It is not a de Polignac number, because 313982141 - 26 = 313982077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313982098 and 313982107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313982143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334625 + ... + 335561.

It is an arithmetic number, because the mean of its divisors is an integer number (21982968).

Almost surely, 2313982141 is an apocalyptic number.

It is an amenable number.

313982141 is a deficient number, since it is larger than the sum of its proper divisors (37745347).

313982141 is a wasteful number, since it uses less digits than its factorization.

313982141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732.

The product of its digits is 5184, while the sum is 32.

The square root of 313982141 is about 17719.5412186659. The cubic root of 313982141 is about 679.6755524013.

The spelling of 313982141 in words is "three hundred thirteen million, nine hundred eighty-two thousand, one hundred forty-one".

Divisors: 1 11 41 451 743 937 8173 10307 30463 38417 335093 422587 696191 7658101 28543831 313982141