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111812810040 = 233251731589357
BaseRepresentation
bin110100000100010010…
…0000001010100111000
3101200121102112021020200
41220020210001110320
53312443034410130
6123211024322200
711035553126631
oct1501044012470
9350542467220
10111812810040
1143468464128
1219805a73360
13a70bc53879
1455a9c72888
152d96331760
hex1a08901538

111812810040 has 192 divisors, whose sum is σ = 397180143360. Its totient is φ = 27157524480.

The previous prime is 111812810027. The next prime is 111812810051. The reversal of 111812810040 is 40018218111.

It is a super-2 number, since 2×1118128100402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111812809986 and 111812810013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104959 + ... + 484398.

It is an arithmetic number, because the mean of its divisors is an integer number (2068646580).

Almost surely, 2111812810040 is an apocalyptic number.

111812810040 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 111812810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198590071680).

111812810040 is an abundant number, since it is smaller than the sum of its proper divisors (285367333320).

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

111812810040 is a wasteful number, since it uses less digits than its factorization.

111812810040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589422 (or 589415 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The spelling of 111812810040 in words is "one hundred eleven billion, eight hundred twelve million, eight hundred ten thousand, forty".