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311357505145 = 51731217295769
BaseRepresentation
bin1001000011111100101…
…10100111111001111001
31002202200001002001211211
410201332112213321321
520100130010131040
6355011411523121
731331505061261
oct4417626477171
91082601061754
10311357505145
11110056215a95
1250414bb94a1
132348cb3955b
14110d96b47a1
15817481a8ea
hex487e5a7e79

311357505145 has 16 divisors (see below), whose sum is σ = 376098765840. Its totient is φ = 247441874944.

The previous prime is 311357505101. The next prime is 311357505163. The reversal of 311357505145 is 541505753113.

It can be written as a sum of positive squares in 8 ways, for example, as 16625781481 + 294731723664 = 128941^2 + 542892^2 .

It is a cyclic number.

It is not a de Polignac number, because 311357505145 - 217 = 311357374073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311357505098 and 311357505107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904821 + ... + 1200589.

It is an arithmetic number, because the mean of its divisors is an integer number (23506172865).

Almost surely, 2311357505145 is an apocalyptic number.

It is an amenable number.

311357505145 is a deficient number, since it is larger than the sum of its proper divisors (64741260695).

311357505145 is a wasteful number, since it uses less digits than its factorization.

311357505145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297164.

The product of its (nonzero) digits is 157500, while the sum is 40.

The spelling of 311357505145 in words is "three hundred eleven billion, three hundred fifty-seven million, five hundred five thousand, one hundred forty-five".

Divisors: 1 5 173 865 1217 6085 210541 295769 1052705 1478845 51168037 255840185 359950873 1799754365 62271501029 311357505145