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310123321013 = 1126134181081
BaseRepresentation
bin1001000001101001100…
…10100101011010110101
31002122111000202000111102
410200310302211122311
520040113032233023
6354245123015445
731256100506642
oct4406462453265
91078430660442
10310123321013
1110a582591200
125012b80a585
132332423679c
141101d806dc9
1581012cb628
hex4834ca56b5

310123321013 has 12 divisors (see below), whose sum is σ = 341435518284. Its totient is φ = 281470305600.

The previous prime is 310123320967. The next prime is 310123321063.

310123321013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4067633284 + 306055687729 = 63778^2 + 553223^2 .

It is not a de Polignac number, because 310123321013 - 220 = 310122272437 is a prime.

It is a super-2 number, since 2×3101233210132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310123321063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2016368 + ... + 2164713.

It is an arithmetic number, because the mean of its divisors is an integer number (28452959857).

Almost surely, 2310123321013 is an apocalyptic number.

It is an amenable number.

310123321013 is a deficient number, since it is larger than the sum of its proper divisors (31312197271).

310123321013 is a wasteful number, since it uses less digits than its factorization.

310123321013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181716 (or 4181705 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 310123 and 321013, that added together give a palindrome (631136).

The spelling of 310123321013 in words is "three hundred ten billion, one hundred twenty-three million, three hundred twenty-one thousand, thirteen".

Divisors: 1 11 121 613 6743 74173 4181081 45991891 505910801 2563002653 28193029183 310123321013