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313114002041421 = 3377333168563003
BaseRepresentation
bin100011100110001101000100…
…0110111011010101001001101
31112001122101222011101212021000
41013030122020313122221031
5312020024434010311141
63025534330424130513
7122644511601560250
oct10714321067325115
91461571864355230
10313114002041421
11908499a2318279
122b14b711906a39
13105936a6744a79
145746b27367097
15262ec316185b6
hex11cc688ddaa4d

313114002041421 has 64 divisors (see below), whose sum is σ = 539025882327040. Its totient is φ = 175938148172160.

The previous prime is 313114002041371. The next prime is 313114002041431. The reversal of 313114002041421 is 124140200411313.

It is a happy number.

313114002041421 is a `hidden beast` number, since 3 + 1 + 3 + 11 + 400 + 204 + 1 + 42 + 1 = 666.

It is not a de Polignac number, because 313114002041421 - 215 = 313114002008653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313114002041431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29714695 + ... + 38848308.

It is an arithmetic number, because the mean of its divisors is an integer number (8422279411360).

Almost surely, 2313114002041421 is an apocalyptic number.

It is an amenable number.

313114002041421 is a deficient number, since it is larger than the sum of its proper divisors (225911880285619).

313114002041421 is a wasteful number, since it uses less digits than its factorization.

313114002041421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68563423 (or 68563417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 313114002041421 its reverse (124140200411313), we get a palindrome (437254202452734).

The spelling of 313114002041421 in words is "three hundred thirteen trillion, one hundred fourteen billion, two million, forty-one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 73 189 219 331 511 657 993 1533 1971 2317 2979 4599 6951 8937 13797 20853 24163 62559 72489 169141 217467 507423 652401 1522269 4566807 68563003 205689009 479941021 617067027 1439823063 1851201081 4319469189 5005099219 12958407567 15015297657 22694353993 35035694533 45045892971 68083061979 105107083599 135137678913 158860477951 204249185937 315321250797 476581433853 612747557811 945963752391 1429744301559 1656687841489 4289232904677 4970063524467 11596814890423 14910190573401 34790444671269 44730571720203 104371334013807 313114002041421