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122111333021013 = 372997833188907
BaseRepresentation
bin11011110000111101000010…
…101000001011010101010101
3121000100201200202100100100020
4123300331002220023111111
5112001133002223133023
61111413101050535353
734502152444563300
oct3360750250132525
9530321622310306
10122111333021013
11359aa142066566
1211841bb2437559
13531a0843b7c6b
142222311b7bb37
15e1b5e178ede3
hex6f0f42a0b555

122111333021013 has 24 divisors (see below), whose sum is σ = 189587136881952. Its totient is φ = 69707916631584.

The previous prime is 122111333020961. The next prime is 122111333021021. The reversal of 122111333021013 is 310120333111221.

It is not a de Polignac number, because 122111333021013 - 26 = 122111333020949 is a prime.

It is a super-2 number, since 2×1221113330210132 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111333021063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416447895 + ... + 416741012.

It is an arithmetic number, because the mean of its divisors is an integer number (7899464036748).

Almost surely, 2122111333021013 is an apocalyptic number.

It is an amenable number.

122111333021013 is a deficient number, since it is larger than the sum of its proper divisors (67475803860939).

122111333021013 is an equidigital number, since it uses as much as digits as its factorization.

122111333021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833189921 (or 833189914 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 122111333021013 its reverse (310120333111221), we get a palindrome (432231666132234).

The spelling of 122111333021013 in words is "one hundred twenty-two trillion, one hundred eleven billion, three hundred thirty-three million, twenty-one thousand, thirteen".

Divisors: 1 3 7 21 49 147 997 2991 6979 20937 48853 146559 833188907 2499566721 5832322349 17496967047 40826256443 122478769329 830689340279 2492068020837 5814825381953 17444476145859 40703777673671 122111333021013