Search a number
-
+
12400130100 = 22352155926513
BaseRepresentation
bin10111000110001101…
…01111100000110100
31012000012000212122210
423203012233200310
5200343413130400
65410241453420
7616200236541
oct134306574064
935005025583
1012400130100
115293606306
1224a0941270
1312280203b7
14858c17bc8
154c895c950
hex2e31af834

12400130100 has 72 divisors (see below), whose sum is σ = 35902077120. Its totient is φ = 3304455680.

The previous prime is 12400130053. The next prime is 12400130101. The reversal of 12400130100 is 103100421.

It is a happy number.

12400130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454444 + ... + 480956.

It is an arithmetic number, because the mean of its divisors is an integer number (498639960).

Almost surely, 212400130100 is an apocalyptic number.

12400130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400130100 is an abundant number, since it is smaller than the sum of its proper divisors (23501947020).

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

12400130100 is a wasteful number, since it uses less digits than its factorization.

12400130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28089 (or 28082 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12400130100 its reverse (103100421), we get a palindrome (12503230521).

The spelling of 12400130100 in words is "twelve billion, four hundred million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1559 3118 4677 6236 7795 9354 15590 18708 23385 26513 31180 38975 46770 53026 77950 79539 93540 106052 116925 132565 155900 159078 233850 265130 318156 397695 467700 530260 662825 795390 1325650 1590780 1988475 2651300 3976950 7953900 41333767 82667534 124001301 165335068 206668835 248002602 413337670 496005204 620006505 826675340 1033344175 1240013010 2066688350 2480026020 3100032525 4133376700 6200065050 12400130100