Search a number
-
+
12314044100 = 2252433728393
BaseRepresentation
bin10110111011111100…
…10110011011000100
31011210012001020212102
423131332112123010
5200204343402400
65353524411232
7614103435131
oct133576263304
934705036772
1012314044100
115249a58656
122477b46b18
13121323bb37
1484b609588
154c11059d5
hex2ddf966c4

12314044100 has 36 divisors (see below), whose sum is σ = 26728578324. Its totient is φ = 4924308480.

The previous prime is 12314044081. The next prime is 12314044109. The reversal of 12314044100 is 144041321.

It can be written as a sum of positive squares in 6 ways, for example, as 333865984 + 11980178116 = 18272^2 + 109454^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12314044109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419504 + ... + 447896.

It is an arithmetic number, because the mean of its divisors is an integer number (742460509).

Almost surely, 212314044100 is an apocalyptic number.

12314044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12314044100 is an abundant number, since it is smaller than the sum of its proper divisors (14414534224).

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

12314044100 is a wasteful number, since it uses less digits than its factorization.

12314044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32744 (or 32737 counting only the distinct ones).

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

Adding to 12314044100 its reverse (144041321), we get a palindrome (12458085421).

The spelling of 12314044100 in words is "twelve billion, three hundred fourteen million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4337 8674 17348 21685 28393 43370 56786 86740 108425 113572 141965 216850 283930 433700 567860 709825 1419650 2839300 123140441 246280882 492561764 615702205 1231404410 2462808820 3078511025 6157022050 12314044100