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110132122003113 = 3779758131131973
BaseRepresentation
bin11001000010101000100010…
…000000101010011010101001
3112102221112020221101221202210
4121002220202000222122221
5103413401041213044423
61030121555352515333
732124532436152110
oct3102504200523251
9472845227357683
10110132122003113
1132100852806701
12104284149abb49
13495b550998c22
141d2a5cd182c77
15caebc89d7b93
hex642a2202a6a9

110132122003113 has 32 divisors (see below), whose sum is σ = 168059996004096. Its totient is φ = 62842811113728.

The previous prime is 110132122003049. The next prime is 110132122003147. The reversal of 110132122003113 is 311300221231011.

It is not a de Polignac number, because 110132122003113 - 26 = 110132122003049 is a prime.

It is a super-4 number, since 4×1101321220031134 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 110132122003113.

It is not an unprimeable number, because it can be changed into a prime (110132122003913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96726195 + ... + 97858167.

It is an arithmetic number, because the mean of its divisors is an integer number (5251874875128).

Almost surely, 2110132122003113 is an apocalyptic number.

It is an amenable number.

110132122003113 is a deficient number, since it is larger than the sum of its proper divisors (57927874000983).

110132122003113 is a wasteful number, since it uses less digits than its factorization.

110132122003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138593.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 110132122003113 its reverse (311300221231011), we get a palindrome (421432343234124).

The spelling of 110132122003113 in words is "one hundred ten trillion, one hundred thirty-two billion, one hundred twenty-two million, three thousand, one hundred thirteen".

Divisors: 1 3 7 21 797 2391 5579 5813 16737 17439 40691 122073 1131973 3395919 4632961 7923811 13898883 23771433 32430727 97292181 902182481 2706547443 6315277367 6580159049 18945832101 19740477147 46061113343 138183340029 5244386762053 15733160286159 36710707334371 110132122003113