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313010133422004 = 223212434969921961
BaseRepresentation
bin100011100101011100101100…
…1110100000100111110110100
31112001021110212101021021211200
41013022321121310010332310
5312011324223124001004
63025414511543132500
7122634143621066034
oct10712713164047664
91461243771237750
10313010133422004
1190809941183147
122b133564444130
13105869625c3915
145741ab25d18c4
15262c1a295b239
hex11cae59d04fb4

313010133422004 has 36 divisors (see below), whose sum is σ = 791226433697700. Its totient is φ = 104335870584960.

The previous prime is 313010133421961. The next prime is 313010133422029. The reversal of 313010133422004 is 400224331010313.

It is a happy number.

313010133422004 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 101 + 334 + 220 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 305072683668900 + 7937449753104 = 17466330^2 + 2817348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3130101334220042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30484417 + ... + 39437544.

Almost surely, 2313010133422004 is an apocalyptic number.

It is an amenable number.

313010133422004 is an abundant number, since it is smaller than the sum of its proper divisors (478216300275696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313010133422004 is a wasteful number, since it uses less digits than its factorization.

313010133422004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70046320 (or 70046315 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 313010133422004 its reverse (400224331010313), we get a palindrome (713234464432317).

The spelling of 313010133422004 in words is "three hundred thirteen trillion, ten billion, one hundred thirty-three million, four hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 124349 248698 373047 497396 746094 1119141 1492188 2238282 4476564 69921961 139843922 209765883 279687844 419531766 629297649 839063532 1258595298 2517190596 8694725928389 17389451856778 26084177785167 34778903713556 52168355570334 78252533355501 104336711140668 156505066711002 313010133422004