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1112113113120 = 25345138162137
BaseRepresentation
bin10000001011101111000…
…110110110100000100000
310221022120002000200010000
4100023233012312200200
5121210101424104440
62210521523340000
7143230125330102
oct20135706664040
93838502020100
101112113113120
1139970a950189
1215b650521600
1380b444c5129
143bb8012b572
151ddde116730
hex102ef1b6820

1112113113120 has 240 divisors, whose sum is σ = 3927737760408. Its totient is φ = 296343982080.

The previous prime is 1112113113101. The next prime is 1112113113151. The reversal of 1112113113120 is 213113112111.

1112113113120 is a `hidden beast` number, since 111 + 211 + 31 + 1 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1015120731024 + 96992382096 = 1007532^2 + 311436^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11121131131202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1112113113093 and 1112113113102.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 17866692 + ... + 17928828.

Almost surely, 21112113113120 is an apocalyptic number.

1112113113120 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 1112113113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963868880204).

1112113113120 is an abundant number, since it is smaller than the sum of its proper divisors (2815624647288).

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

1112113113120 is a wasteful number, since it uses less digits than its factorization.

1112113113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63545 (or 63528 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1112113113120 its reverse (213113112111), we get a palindrome (1325226225231).

The spelling of 1112113113120 in words is "one trillion, one hundred twelve billion, one hundred thirteen million, one hundred thirteen thousand, one hundred twenty".