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111942300456 = 23337319281283
BaseRepresentation
bin110100001000001000…
…1111111001100101000
3101200221110012001201000
41220100101333030220
53313224212103311
6123231531555000
711042014566000
oct1502021771450
9350843161630
10111942300456
11435245681a8
12198412bba60
13a72ca2140c
1455bd13d000
152da28ae056
hex1a1047f328

111942300456 has 512 divisors, whose sum is σ = 384422400000. Its totient is φ = 30085655040.

The previous prime is 111942300427. The next prime is 111942300523. The reversal of 111942300456 is 654003249111.

It is a happy number.

111942300456 is a `hidden beast` number, since 11 + 194 + 2 + 3 + 0 + 0 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 111942300456.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 395555691 + ... + 395555973.

It is an arithmetic number, because the mean of its divisors is an integer number (750825000).

Almost surely, 2111942300456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111942300456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192211200000).

111942300456 is an abundant number, since it is smaller than the sum of its proper divisors (272480099544).

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

111942300456 is a wasteful number, since it uses less digits than its factorization.

111942300456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 111942300456 its reverse (654003249111), we get a palindrome (765945549567).

The spelling of 111942300456 in words is "one hundred eleven billion, nine hundred forty-two million, three hundred thousand, four hundred fifty-six".