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313311110345 = 5461449330253
BaseRepresentation
bin1001000111100101100…
…11000010010011001001
31002221201012010111100222
410203302303002103021
520113130121012340
6355533320235425
731431066332252
oct4436263022311
91087635114328
10313311110345
11110968a54542
125087b30bb75
13237117bb46c
1411242d33b29
15823b0b68b5
hex48f2cc24c9

313311110345 has 16 divisors (see below), whose sum is σ = 376885211472. Its totient is φ = 250041250560.

The previous prime is 313311110317. The next prime is 313311110401. The reversal of 313311110345 is 543011113313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 69175312144 + 244135798201 = 263012^2 + 494101^2 .

It is not a de Polignac number, because 313311110345 - 28 = 313311110089 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 10341239 + ... + 10371491.

It is an arithmetic number, because the mean of its divisors is an integer number (23555325717).

Almost surely, 2313311110345 is an apocalyptic number.

It is an amenable number.

313311110345 is a deficient number, since it is larger than the sum of its proper divisors (63574101127).

313311110345 is a wasteful number, since it uses less digits than its factorization.

313311110345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35212.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 313311110345 its reverse (543011113313), we get a palindrome (856322223658).

The spelling of 313311110345 in words is "three hundred thirteen billion, three hundred eleven million, one hundred ten thousand, three hundred forty-five".

Divisors: 1 5 461 2305 4493 22465 30253 151265 2071273 10356365 13946633 69733165 135926729 679633645 62662222069 313311110345