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313313544560101 = 7364110216558017
BaseRepresentation
bin100011100111101001111111…
…0100001101101110111100101
31112002100111000121212002100211
41013033103332201231313211
5312031312114401410401
63030210131052535421
7122665104466155421
oct10717237641556745
91462314017762324
10313313544560101
1190916589922a38
122b182320181571
13105a9457047c27
14575265679db81
15263500e822951
hex11cf4fe86dde5

313313544560101 has 16 divisors (see below), whose sum is σ = 318412602165168. Its totient is φ = 308237244825600.

The previous prime is 313313544560087. The next prime is 313313544560153. The reversal of 313313544560101 is 101065445313313.

It can be written as a sum of positive squares in 8 ways, for example, as 35732287567201 + 277581256992900 = 5977649^2 + 16660770^2 .

It is a cyclic number.

It is not a de Polignac number, because 313313544560101 - 27 = 313313544559973 is a prime.

It is a super-2 number, since 2×3133135445601012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313313544560701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44496645 + ... + 51054661.

It is an arithmetic number, because the mean of its divisors is an integer number (19900787635323).

Almost surely, 2313313544560101 is an apocalyptic number.

It is an amenable number.

313313544560101 is a deficient number, since it is larger than the sum of its proper divisors (5099057605067).

313313544560101 is a wasteful number, since it uses less digits than its factorization.

313313544560101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559752.

The product of its (nonzero) digits is 194400, while the sum is 40.

Adding to 313313544560101 its reverse (101065445313313), we get a palindrome (414378989873414).

The spelling of 313313544560101 in words is "three hundred thirteen trillion, three hundred thirteen billion, five hundred forty-four million, five hundred sixty thousand, one hundred one".

Divisors: 1 73 641 1021 46793 74533 654461 6558017 47775653 478735241 4203688897 6695735357 306869289481 488788681061 4291966363837 313313544560101