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1110331334112 = 2537111337312281
BaseRepresentation
bin10000001010000100111…
…001111001110111100000
310221010221220021220210220
4100022010321321313200
5121142424310142422
62210025033523040
7143135021422110
oct20120471716740
93833856256726
101110331334112
11398986101250
1215b233873480
138091c314820
143ba51639040
151dd379abe5c
hex10284e79de0

1110331334112 has 384 divisors, whose sum is σ = 4019114308608. Its totient is φ = 259017523200.

The previous prime is 1110331334087. The next prime is 1110331334143. The reversal of 1110331334112 is 2114331330111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3399412 + ... + 3711692.

It is an arithmetic number, because the mean of its divisors is an integer number (10466443512).

Almost surely, 21110331334112 is an apocalyptic number.

1110331334112 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 1110331334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009557154304).

1110331334112 is an abundant number, since it is smaller than the sum of its proper divisors (2908782974496).

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

1110331334112 is a wasteful number, since it uses less digits than its factorization.

1110331334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312362 (or 312354 counting only the distinct ones).

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

Adding to 1110331334112 its reverse (2114331330111), we get a palindrome (3224662664223).

The spelling of 1110331334112 in words is "one trillion, one hundred ten billion, three hundred thirty-one million, three hundred thirty-four thousand, one hundred twelve".