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1112033200320 = 263257313748091
BaseRepresentation
bin10000001011101010010…
…110000000100011000000
310221022100111122200100200
4100023222112000203000
5121204420444402240
62210505550445200
7143225135146140
oct20135226004300
93838314580320
101112033200320
11399679829549
1215b629803800
1380b30a95653
143bb73688920
151ddd70cd930
hex102ea5808c0

1112033200320 has 672 divisors, whose sum is σ = 4634412896256. Its totient is φ = 239326617600.

The previous prime is 1112033200319. The next prime is 1112033200337. The reversal of 1112033200320 is 230023302111.

1112033200320 is a `hidden beast` number, since 1 + 1 + 1 + 20 + 3 + 320 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×11120332003202 (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 = 1112033200293 and 1112033200302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23099475 + ... + 23147565.

Almost surely, 21112033200320 is an apocalyptic number.

1112033200320 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 1112033200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317206448128).

1112033200320 is an abundant number, since it is smaller than the sum of its proper divisors (3522379695936).

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

1112033200320 is a wasteful number, since it uses less digits than its factorization.

1112033200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48189 (or 48176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1112033200320 its reverse (230023302111), we get a palindrome (1342056502431).

The spelling of 1112033200320 in words is "one trillion, one hundred twelve billion, thirty-three million, two hundred thousand, three hundred twenty".