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1112141400 = 233524153853
BaseRepresentation
bin100001001001001…
…1110111001011000
32212111200122012020
41002102132321120
54234202011100
6302205014440
736363021516
oct10222367130
92774618166
101112141400
11520858327
12270554420
13149542146
14a79bd4b6
15679835a0
hex4249ee58

1112141400 has 192 divisors, whose sum is σ = 3602581920. Its totient is φ = 283545600.

The previous prime is 1112141389. The next prime is 1112141417. The reversal of 1112141400 is 41412111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112141400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303374 + ... + 1304226.

Almost surely, 21112141400 is an apocalyptic number.

1112141400 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 1112141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801290960).

1112141400 is an abundant number, since it is smaller than the sum of its proper divisors (2490440520).

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

1112141400 is a wasteful number, since it uses less digits than its factorization.

1112141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1112141400 is about 33348.7840857804. The cubic root of 1112141400 is about 1036.0642044655.

Adding to 1112141400 its reverse (41412111), we get a palindrome (1153553511).

The spelling of 1112141400 in words is "one billion, one hundred twelve million, one hundred forty-one thousand, four hundred".