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12400432100 = 2252730015903
BaseRepresentation
bin10111000110001111…
…11001001111100100
31012000012121012220222
423203013321033210
5200344002311400
65410252143512
7616202635160
oct134307711744
935005535828
1012400432100
1152937a21a1
1224a0a67b98
1312280c79b4
14858c95ca0
154c89bc185
hex2e31f93e4

12400432100 has 72 divisors (see below), whose sum is σ = 30768530688. Its totient is φ = 4249440000.

The previous prime is 12400432039. The next prime is 12400432133. The reversal of 12400432100 is 123400421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2097749 + ... + 2103651.

It is an arithmetic number, because the mean of its divisors is an integer number (427340704).

Almost surely, 212400432100 is an apocalyptic number.

12400432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400432100 is an abundant number, since it is smaller than the sum of its proper divisors (18368098588).

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

12400432100 is a wasteful number, since it uses less digits than its factorization.

12400432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12400432100 its reverse (123400421), we get a palindrome (12523832521).

The spelling of 12400432100 in words is "twelve billion, four hundred million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3001 5903 6002 11806 12004 15005 21007 23612 29515 30010 41321 42014 59030 60020 75025 82642 84028 105035 118060 147575 150050 165284 206605 210070 295150 300100 413210 420140 525175 590300 826420 1033025 1050350 2066050 2100700 4132100 17714903 35429806 70859612 88574515 124004321 177149030 248008642 354298060 442872575 496017284 620021605 885745150 1240043210 1771490300 2480086420 3100108025 6200216050 12400432100