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311223141322113 = 33710127760515683
BaseRepresentation
bin100011011000011100100100…
…0110010001100110110000001
31111210221122022211100220202010
41012300321020302030312001
5311243034443134301423
63021525534244443133
7122361062366625006
oct10660711062146601
91453848284326663
10311223141322113
119018aaa1784429
122aaa51683a94a9
13104872a7288237
1456bd3cd6478ad
1525ea964db5693
hex11b0e48c8cd81

311223141322113 has 16 divisors (see below), whose sum is σ = 430399035164736. Its totient is φ = 199875712910400.

The previous prime is 311223141322109. The next prime is 311223141322133.

311223141322113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311223141322113 - 22 = 311223141322109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311223141322133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13880246631 + ... + 13880269052.

It is an arithmetic number, because the mean of its divisors is an integer number (26899939697796).

Almost surely, 2311223141322113 is an apocalyptic number.

It is an amenable number.

311223141322113 is a deficient number, since it is larger than the sum of its proper divisors (119175893842623).

311223141322113 is a wasteful number, since it uses less digits than its factorization.

311223141322113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27760515824.

The product of its digits is 5184, while the sum is 30.

The spelling of 311223141322113 in words is "three hundred eleven trillion, two hundred twenty-three billion, one hundred forty-one million, three hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 37 101 111 303 3737 11211 27760515683 83281547049 1027139080271 2803812083983 3081417240813 8411436251949 103741047107371 311223141322113