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322313000131 = 1767631144839
BaseRepresentation
bin1001011000010110101…
…10100001010011000011
31010210221112202212200101
410230023112201103003
520240044112001011
6404022450103231
732200134204013
oct4541326412303
91123845685611
10322313000131
11114768316581
1252571b7ab17
1324517780975
14118586bbc43
1585b65182c1
hex4b0b5a14c3

322313000131 has 16 divisors (see below), whose sum is σ = 346428817920. Its totient is φ = 298771735680.

The previous prime is 322313000089. The next prime is 322313000171. The reversal of 322313000131 is 131000313223.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-322313000131 is a prime.

It is a super-2 number, since 2×3223130001312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 322313000099 and 322313000108.

It is not an unprimeable number, because it can be changed into a prime (322313000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7165810 + ... + 7210648.

It is an arithmetic number, because the mean of its divisors is an integer number (21651801120).

Almost surely, 2322313000131 is an apocalyptic number.

322313000131 is a deficient number, since it is larger than the sum of its proper divisors (24115817789).

322313000131 is a wasteful number, since it uses less digits than its factorization.

322313000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51234.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 322313000131 its reverse (131000313223), we get a palindrome (453313313354).

The spelling of 322313000131 in words is "three hundred twenty-two billion, three hundred thirteen million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 17 67 1139 6311 44839 107287 422837 762263 3004213 7188229 51071621 282978929 4810641793 18959588243 322313000131