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132122111331111 = 31141115184840337
BaseRepresentation
bin11110000010101000010011…
…100000110100101100100111
3122022210202021002212111000220
4132002220103200310230213
5114304142041000043421
61145000020544335423
736554336041331316
oct3602502340645447
9568722232774026
10132122111331111
1139109744480480
121299a197914573
1358950a555b165
14248aa5c55027d
151041beca813c6
hex782a13834b27

132122111331111 has 32 divisors (see below), whose sum is σ = 197035915862016. Its totient is φ = 78053109120000.

The previous prime is 132122111331107. The next prime is 132122111331143. The reversal of 132122111331111 is 111133111221231.

It is not a de Polignac number, because 132122111331111 - 22 = 132122111331107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122111331011) 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, 40862866 + ... + 43977471.

It is an arithmetic number, because the mean of its divisors is an integer number (6157372370688).

Almost surely, 2132122111331111 is an apocalyptic number.

132122111331111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132122111331111 is a deficient number, since it is larger than the sum of its proper divisors (64913804530905).

132122111331111 is a wasteful number, since it uses less digits than its factorization.

132122111331111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84841543.

The product of its digits is 216, while the sum is 24.

Adding to 132122111331111 its reverse (111133111221231), we get a palindrome (243255222552342).

The spelling of 132122111331111 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred eleven million, three hundred thirty-one thousand, one hundred eleven".

Divisors: 1 3 11 33 41 123 451 1151 1353 3453 12661 37983 47191 141573 519101 1557303 84840337 254521011 933243707 2799731121 3478453817 10435361451 38262991987 97651227887 114788975961 292953683661 1074163506757 3222490520271 4003700343367 12011101030101 44040703777037 132122111331111