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313142311311423 = 31167155990846227
BaseRepresentation
bin100011100110011010010000…
…0001110101101100000111111
31112001202010001002021210002120
41013030310200032231200333
5312021010423143431143
63025555331502054023
7122646533251443156
oct10714644016554077
91461663032253076
10313142311311423
119085a9aa14a890
122b1550b257a313
1310596268757ac9
14574825102059d
15263083bac0383
hex11ccd203ad83f

313142311311423 has 32 divisors (see below), whose sum is σ = 462574457579520. Its totient is φ = 186830714542560.

The previous prime is 313142311311409. The next prime is 313142311311437. The reversal of 313142311311423 is 324113113241313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313142311311409) and next prime (313142311311437).

It is not a de Polignac number, because 313142311311423 - 210 = 313142311310399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313142311311493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41976165 + ... + 48870062.

It is an arithmetic number, because the mean of its divisors is an integer number (14455451799360).

Almost surely, 2313142311311423 is an apocalyptic number.

313142311311423 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

313142311311423 is a deficient number, since it is larger than the sum of its proper divisors (149432146268097).

313142311311423 is a wasteful number, since it uses less digits than its factorization.

313142311311423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90847867.

The product of its digits is 15552, while the sum is 33.

Adding to 313142311311423 its reverse (324113113241313), we get a palindrome (637255424552736).

The spelling of 313142311311423 in words is "three hundred thirteen trillion, one hundred forty-two billion, three hundred eleven million, three hundred eleven thousand, four hundred twenty-three".

Divisors: 1 3 11 33 67 201 737 1559 2211 4677 17149 51447 104453 313359 1148983 3446949 90846227 272538681 999308497 2997925491 6086697209 18260091627 66953669299 141629267893 200861007897 424887803679 1557921946823 4673765840469 9489160948831 28467482846493 104380770437141 313142311311423