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1110013133112 = 23321321919324877
BaseRepresentation
bin10000001001110001111…
…100000100000100111000
310221010010201112122002200
4100021301330010010320
5121141301330224422
62205533305430200
7143124105645312
oct20116174040470
93833121478080
101110013133112
11398832526114
1215b16519b360
138089b413400
143ba212887b2
151dd19aa52ac
hex10271f04138

1110013133112 has 288 divisors, whose sum is σ = 3444553148400. Its totient is φ = 321877131264.

The previous prime is 1110013133071. The next prime is 1110013133129. The reversal of 1110013133112 is 2113313100111.

It is a super-2 number, since 2×11100131331122 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44607618 + ... + 44632494.

Almost surely, 21110013133112 is an apocalyptic number.

1110013133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110013133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722276574200).

1110013133112 is an abundant number, since it is smaller than the sum of its proper divisors (2334540015288).

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

1110013133112 is a wasteful number, since it uses less digits than its factorization.

1110013133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25127 (or 25107 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1110013133112 its reverse (2113313100111), we get a palindrome (3223326233223).

The spelling of 1110013133112 in words is "one trillion, one hundred ten billion, thirteen million, one hundred thirty-three thousand, one hundred twelve".