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1112314013200 = 2452131931477727
BaseRepresentation
bin10000001011111011000…
…101001110011000010000
310221100002002001110012201
4100023323011032120100
5121211004341410300
62210553501332544
7143235115053445
oct20137305163020
93840062043181
101112314013200
11399803298405
1215b6a7867154
1380b77006010
143bb9caa59cc
151de01a9c66a
hex102fb14e610

1112314013200 has 480 divisors, whose sum is σ = 3194035568640. Its totient is φ = 368474572800.

The previous prime is 1112314013179. The next prime is 1112314013203. The reversal of 1112314013200 is 23104132111.

It is a super-2 number, since 2×11123140132002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1112314013203) 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 95 ways as a sum of consecutive naturals, for example, 143947737 + ... + 143955463.

It is an arithmetic number, because the mean of its divisors is an integer number (6654240768).

Almost surely, 21112314013200 is an apocalyptic number.

1112314013200 is a gapful number since it is divisible by the number (10) 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 1112314013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597017784320).

1112314013200 is an abundant number, since it is smaller than the sum of its proper divisors (2081721555440).

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

1112314013200 is a wasteful number, since it uses less digits than its factorization.

1112314013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1112314013200 its reverse (23104132111), we get a palindrome (1135418145311).

The spelling of 1112314013200 in words is "one trillion, one hundred twelve billion, three hundred fourteen million, thirteen thousand, two hundred".