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1121342400 = 263352101257
BaseRepresentation
bin100001011010110…
…0101001111000000
32220011000002121000
41002311211033000
54244030424100
6303134132000
736534152553
oct10265451700
92804002530
101121342400
11525a72162
12273651000
1314b414119
14a8cd669a
156869e900
hex42d653c0

1121342400 has 336 divisors, whose sum is σ = 4144243680. Its totient is φ = 294912000.

The previous prime is 1121342381. The next prime is 1121342413. The reversal of 1121342400 is 42431211.

1121342400 is a `hidden beast` number, since 11 + 213 + 42 + 400 = 666.

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

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, 4363072 + ... + 4363328.

Almost surely, 21121342400 is an apocalyptic number.

1121342400 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 1121342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072121840).

1121342400 is an abundant number, since it is smaller than the sum of its proper divisors (3022901280).

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

1121342400 is a wasteful number, since it uses less digits than its factorization.

1121342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1121342400 is about 33486.4509914085. The cubic root of 1121342400 is about 1038.9135597210.

Adding to 1121342400 its reverse (42431211), we get a palindrome (1163773611).

The spelling of 1121342400 in words is "one billion, one hundred twenty-one million, three hundred forty-two thousand, four hundred".