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1116305382192 = 2437111323399713
BaseRepresentation
bin10000001111101000111…
…111000101101100110000
310221201101020112000010220
4100033220333011230300
5121242143134212232
62212453522253040
7143436042121650
oct20175077055460
93851336460126
101116305382192
113a0471316a70
121604204b7180
1381361bc5010
143c05ac10360
151e0871ba42c
hex103e8fc5b30

1116305382192 has 320 divisors, whose sum is σ = 3888597113856. Its totient is φ = 266494279680.

The previous prime is 1116305382089. The next prime is 1116305382229. The reversal of 1116305382192 is 2912835036111.

It is a happy number.

It is a super-2 number, since 2×11163053821922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11145328 + ... + 11245040.

Almost surely, 21116305382192 is an apocalyptic number.

1116305382192 is a gapful number since it is divisible by the number (12) 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 1116305382192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944298556928).

1116305382192 is an abundant number, since it is smaller than the sum of its proper divisors (2772291731664).

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

1116305382192 is a wasteful number, since it uses less digits than its factorization.

1116305382192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99988 (or 99982 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 1116305382192 in words is "one trillion, one hundred sixteen billion, three hundred five million, three hundred eighty-two thousand, one hundred ninety-two".