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1110122122122 = 232134744111633
BaseRepresentation
bin10000001001111000011…
…011110100101110001010
310221010102022121211220200
4100021320123310232022
5121142012230401442
62205552201433030
7143126601226446
oct20117033645612
93833368554820
101110122122122
11398888aa7182
1215b19579b776
13808b7b83550
143ba31939826
151dd2443334c
hex102786f4b8a

1110122122122 has 24 divisors (see below), whose sum is σ = 2590284952164. Its totient is φ = 341576037504.

The previous prime is 1110122122027. The next prime is 1110122122159. The reversal of 1110122122122 is 2212212210111.

It can be written as a sum of positive squares in 2 ways, for example, as 909526523481 + 200595598641 = 953691^2 + 447879^2 .

It is a super-2 number, since 2×11101221221222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1110122122095 and 1110122122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2372055583 + ... + 2372056050.

Almost surely, 21110122122122 is an apocalyptic number.

1110122122122 is an abundant number, since it is smaller than the sum of its proper divisors (1480162830042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1110122122122 is a wasteful number, since it uses less digits than its factorization.

1110122122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744111654 (or 4744111651 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1110122122122 its reverse (2212212210111), we get a palindrome (3322334332233).

The spelling of 1110122122122 in words is "one trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4744111633 9488223266 14232334899 28464669798 42697004697 61673451229 85394009394 123346902458 185020353687 370040707374 555061061061 1110122122122