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1141123200 = 27352716981
BaseRepresentation
bin100010000000100…
…0010100010000000
32221112020001202020
41010001002202000
54314111420300
6305122121440
740164246540
oct10401024200
92845201666
101141123200
11536152828
1227a1b0280
1315254b839
14ab7a5320
156a2aa8a0
hex44042880

1141123200 has 192 divisors, whose sum is σ = 4295766720. Its totient is φ = 260812800.

The previous prime is 1141123187. The next prime is 1141123213. The reversal of 1141123200 is 23211411.

It is an interprime number because it is at equal distance from previous prime (1141123187) and next prime (1141123213).

It is a tau number, because it is divible by the number of its divisors (192).

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 1141123200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58710 + ... + 75690.

It is an arithmetic number, because the mean of its divisors is an integer number (22373785).

Almost surely, 21141123200 is an apocalyptic number.

1141123200 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 1141123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147883360).

1141123200 is an abundant number, since it is smaller than the sum of its proper divisors (3154643520).

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

1141123200 is a wasteful number, since it uses less digits than its factorization.

1141123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17015 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1141123200 is about 33780.5150937637. The cubic root of 1141123200 is about 1044.9868972663.

Adding to 1141123200 its reverse (23211411), we get a palindrome (1164334611).

The spelling of 1141123200 in words is "one billion, one hundred forty-one million, one hundred twenty-three thousand, two hundred".