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1112231299968 = 273219471081163
BaseRepresentation
bin10000001011110110001…
…001101100101110000000
310221022212022102011222200
4100023312021230232000
5121210322203044333
62210541344433200
7143233062030135
oct20136611545600
93838768364880
101112231299968
11399770633768
1215b684018800
1380b62b35989
143bb91ad458c
151dde96aec13
hex102f626cb80

1112231299968 has 192 divisors, whose sum is σ = 3440696313600. Its totient is φ = 343757620224.

The previous prime is 1112231299951. The next prime is 1112231299969. The reversal of 1112231299968 is 8699921322111.

It is a happy number.

1112231299968 is a `hidden beast` number, since 1 + 112 + 231 + 299 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112231299969) 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 23 ways as a sum of consecutive naturals, for example, 488155 + ... + 1569317.

It is an arithmetic number, because the mean of its divisors is an integer number (17920293300).

Almost surely, 21112231299968 is an apocalyptic number.

1112231299968 is a gapful number since it is divisible by the number (18) 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 1112231299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720348156800).

1112231299968 is an abundant number, since it is smaller than the sum of its proper divisors (2328465013632).

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

1112231299968 is a wasteful number, since it uses less digits than its factorization.

1112231299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081249 (or 1081234 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 1112231299968 in words is "one trillion, one hundred twelve billion, two hundred thirty-one million, two hundred ninety-nine thousand, nine hundred sixty-eight".