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313353211141 = 1014926162981
BaseRepresentation
bin1001000111101010100…
…11101000110100000101
31002221211010100102210201
410203311103220310011
520113221410224031
6355541422450501
731432120230145
oct4436523506405
91087733312721
10313353211141
1111098a79a493
1250891433a31
132371a43c289
1411248772925
15823eb30d61
hex48f54e8d05

313353211141 has 8 divisors (see below), whose sum is σ = 316467166968. Its totient is φ = 310239480000.

The previous prime is 313353211123. The next prime is 313353211151. The reversal of 313353211141 is 141112353313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 127130754916 + 186222456225 = 356554^2 + 431535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313353211141 - 25 = 313353211109 is a prime.

It is a super-2 number, since 2×3133532111412 (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 (313353211121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4943871 + ... + 5006851.

It is an arithmetic number, because the mean of its divisors is an integer number (39558395871).

Almost surely, 2313353211141 is an apocalyptic number.

It is an amenable number.

313353211141 is a deficient number, since it is larger than the sum of its proper divisors (3113955827).

313353211141 is a wasteful number, since it uses less digits than its factorization.

313353211141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112343.

The product of its digits is 3240, while the sum is 28.

Adding to 313353211141 its reverse (141112353313), we get a palindrome (454465564454).

The spelling of 313353211141 in words is "three hundred thirteen billion, three hundred fifty-three million, two hundred eleven thousand, one hundred forty-one".

Divisors: 1 101 49261 62981 4975361 6361081 3102507041 313353211141