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1116943302400 = 285217193971361
BaseRepresentation
bin10000010000001111000…
…000100011111100000000
310221210000200212201011021
4100100033000203330000
5121244444441134100
62213041111155224
7143460616264432
oct20201700437400
93853020781137
101116943302400
113a0769414952
1216057a075b14
13814341098b3
143c0bb828652
151e0c31c8a1a
hex1040f023f00

1116943302400 has 432 divisors, whose sum is σ = 3091329329760. Its totient is φ = 397069516800.

The previous prime is 1116943302373. The next prime is 1116943302427. The reversal of 1116943302400 is 42033496111.

It is an interprime number because it is at equal distance from previous prime (1116943302373) and next prime (1116943302427).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 820677720 + ... + 820679080.

It is an arithmetic number, because the mean of its divisors is an integer number (7155854930).

Almost surely, 21116943302400 is an apocalyptic number.

1116943302400 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 1116943302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545664664880).

1116943302400 is an abundant number, since it is smaller than the sum of its proper divisors (1974386027360).

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

1116943302400 is a wasteful number, since it uses less digits than its factorization.

1116943302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 1116943302400 its reverse (42033496111), we get a palindrome (1158976798511).

The spelling of 1116943302400 in words is "one trillion, one hundred sixteen billion, nine hundred forty-three million, three hundred two thousand, four hundred".