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1231311200 = 255272101311
BaseRepresentation
bin100100101100100…
…0101000101100000
310011210221002102112
41021121011011200
510010203424300
6322103134452
742340654400
oct11131050540
93153832375
101231311200
11582052369
122a4444428
13168138212
14b9760800
1573172e35
hex49645160

1231311200 has 216 divisors, whose sum is σ = 3542679504. Its totient is φ = 416640000.

The previous prime is 1231311199. The next prime is 1231311223. The reversal of 1231311200 is 21131321.

It is a super-2 number, since 2×12313112002 = 3032254542490880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3959045 + ... + 3959355.

It is an arithmetic number, because the mean of its divisors is an integer number (16401294).

Almost surely, 21231311200 is an apocalyptic number.

1231311200 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 1231311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771339752).

1231311200 is an abundant number, since it is smaller than the sum of its proper divisors (2311368304).

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

1231311200 is a wasteful number, since it uses less digits than its factorization.

1231311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1231311200 is about 35090.0441721010. The cubic root of 1231311200 is about 1071.8218590897.

Adding to 1231311200 its reverse (21131321), we get a palindrome (1252442521).

The spelling of 1231311200 in words is "one billion, two hundred thirty-one million, three hundred eleven thousand, two hundred".