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1231144400 = 24523077861
BaseRepresentation
bin100100101100001…
…1100010111010000
310011210121121121202
41021120130113100
510010133110100
6322055410332
742336361163
oct11130342720
93153547552
101231144400
11581a49012
122a43839a8
131680aa315
14b9719ada
157313d7d5
hex4961c5d0

1231144400 has 30 divisors (see below), whose sum is σ = 2957825382. Its totient is φ = 492457600.

The previous prime is 1231144381. The next prime is 1231144429. The reversal of 1231144400 is 44411321.

It can be written as a sum of positive squares in 3 ways, for example, as 22052416 + 1209091984 = 4696^2 + 34772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 1538531 + ... + 1539330.

Almost surely, 21231144400 is an apocalyptic number.

1231144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1231144400 is an abundant number, since it is smaller than the sum of its proper divisors (1726680982).

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

1231144400 is a wasteful number, since it uses less digits than its factorization.

1231144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077879 (or 3077868 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1231144400 is about 35087.6673490844. The cubic root of 1231144400 is about 1071.7734586638.

Adding to 1231144400 its reverse (44411321), we get a palindrome (1275555721).

The spelling of 1231144400 in words is "one billion, two hundred thirty-one million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3077861 6155722 12311444 15389305 24622888 30778610 49245776 61557220 76946525 123114440 153893050 246228880 307786100 615572200 1231144400