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1314131100 = 223524380437
BaseRepresentation
bin100111001010100…
…0000110010011100
310101120202202222020
41032111000302130
510142404143400
6334222220140
744364634002
oct11625006234
93346682866
101314131100
1161487a167
12308124650
1317c344c89
14c675ca72
157a5822a0
hex4e540c9c

1314131100 has 36 divisors (see below), whose sum is σ = 3802220184. Its totient is φ = 350434880.

The previous prime is 1314131087. The next prime is 1314131101. The reversal of 1314131100 is 11314131.

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 1314131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314131101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2189919 + ... + 2190518.

Almost surely, 21314131100 is an apocalyptic number.

1314131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314131100 is an abundant number, since it is smaller than the sum of its proper divisors (2488089084).

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

1314131100 is a wasteful number, since it uses less digits than its factorization.

1314131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380454 (or 4380447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1314131100 is about 36250.9461945478. The cubic root of 1314131100 is about 1095.3331485631. Note that the first 3 decimals are identical.

Adding to 1314131100 its reverse (11314131), we get a palindrome (1325445231).

The spelling of 1314131100 in words is "one billion, three hundred fourteen million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4380437 8760874 13141311 17521748 21902185 26282622 43804370 52565244 65706555 87608740 109510925 131413110 219021850 262826220 328532775 438043700 657065550 1314131100