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1231300440 = 23355131967
BaseRepresentation
bin100100101100100…
…0010011101011000
310011210220112200000
41021121002131120
510010203103230
6322103013000
742340611126
oct11131023530
93153815600
101231300440
11582045277
122a443a160
13168133356
14b975a916
157316eb60
hex49642758

1231300440 has 192 divisors, whose sum is σ = 4185941760. Its totient is φ = 325503360.

The previous prime is 1231300381. The next prime is 1231300451. The reversal of 1231300440 is 440031321.

It is a super-2 number, since 2×12313004402 = 3032201547088387200, which contains 22 as substring.

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, 1272837 + ... + 1273803.

It is an arithmetic number, because the mean of its divisors is an integer number (21801780).

Almost surely, 21231300440 is an apocalyptic number.

1231300440 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 1231300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092970880).

1231300440 is an abundant number, since it is smaller than the sum of its proper divisors (2954641320).

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

1231300440 is a wasteful number, since it uses less digits than its factorization.

1231300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1231300440 is about 35089.8908519249. The cubic root of 1231300440 is about 1071.8187369879.

Adding to 1231300440 its reverse (440031321), we get a palindrome (1671331761).

The spelling of 1231300440 in words is "one billion, two hundred thirty-one million, three hundred thousand, four hundred forty".