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1121318640 = 24375131729
BaseRepresentation
bin100001011010101…
…1111011011110000
32220010221220000000
41002311133123300
54244024144030
6303133430000
736534023361
oct10265373360
92803856000
101121318640
11525a56322
1227363b300
1314b406370
14a8ccbb68
1568697860
hex42d5f6f0

1121318640 has 640 divisors, whose sum is σ = 4612204800. Its totient is φ = 250822656.

The previous prime is 1121318593. The next prime is 1121318651. The reversal of 1121318640 is 468131211.

It is a happy number.

1121318640 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 18 + 640 = 666.

It is a super-2 number, since 2×11213186402 = 2514710984822899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 38666146 + ... + 38666174.

It is an arithmetic number, because the mean of its divisors is an integer number (7206570).

Almost surely, 21121318640 is an apocalyptic number.

1121318640 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 1121318640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306102400).

1121318640 is an abundant number, since it is smaller than the sum of its proper divisors (3490886160).

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

1121318640 is a wasteful number, since it uses less digits than its factorization.

1121318640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1121318640 is about 33486.0962191773. The cubic root of 1121318640 is about 1038.9062218610.

Adding to 1121318640 its reverse (468131211), we get a palindrome (1589449851).

The spelling of 1121318640 in words is "one billion, one hundred twenty-one million, three hundred eighteen thousand, six hundred forty".