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113223121322311 = 71121311311909091
BaseRepresentation
bin11001101111100111001111…
…111011010100000101000111
3112211220000122222221121120101
4121233213033323110011013
5104320021423024303221
61040445552303344531
732564046331646620
oct3157471773240507
9484800588847511
10113223121322311
11330927242a1800
12108474962b2147
134b23b8237a420
141dd6057988a47
15d152d71a2d91
hex66f9cfed4147

113223121322311 has 48 divisors (see below), whose sum is σ = 153185231094784. Its totient is φ = 81431918568000.

The previous prime is 113223121322299. The next prime is 113223121322321.

113223121322311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113223121322311 - 215 = 113223121289543 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113223121322311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113223121322321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124090876 + ... + 124999966.

Almost surely, 2113223121322311 is an apocalyptic number.

113223121322311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113223121322311 is a deficient number, since it is larger than the sum of its proper divisors (39962109772473).

113223121322311 is a wasteful number, since it uses less digits than its factorization.

113223121322311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920444 (or 920433 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The spelling of 113223121322311 in words is "one hundred thirteen trillion, two hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred eleven".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 11311 79177 124421 147043 870947 909091 1029301 1368631 1617473 6363637 9580417 10000001 11322311 11818183 17792203 70000007 82727281 110000011 124545421 130000013 770000077 910000091 1430000143 10010001001 10282728301 71979098107 113110011311 133675467913 791770079177 935728275391 1244210124421 1470430147043 8709470870947 10293011029301 16174731617473 113223121322311