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12413044200 = 2335276926903
BaseRepresentation
bin10111000111110000…
…00000010111101000
31012001002022222110210
423203320000113220
5200410214403300
65411422341120
7616415064144
oct134370002750
935032288423
1012413044200
11529a926917
1224a512a7a0
13122a8c248b
1485a81a224
154c9b5e050
hex2e3e005e8

12413044200 has 96 divisors (see below), whose sum is σ = 38531908800. Its totient is φ = 3305717760.

The previous prime is 12413044187. The next prime is 12413044219. The reversal of 12413044200 is 244031421.

It is a super-2 number, since 2×124130442002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447949 + ... + 474851.

It is an arithmetic number, because the mean of its divisors is an integer number (401374050).

Almost surely, 212413044200 is an apocalyptic number.

12413044200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12413044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265954400).

12413044200 is an abundant number, since it is smaller than the sum of its proper divisors (26118864600).

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

12413044200 is a wasteful number, since it uses less digits than its factorization.

12413044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27691 (or 27682 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12413044200 its reverse (244031421), we get a palindrome (12657075621).

The spelling of 12413044200 in words is "twelve billion, four hundred thirteen million, forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 769 1538 2307 3076 3845 4614 6152 7690 9228 11535 15380 18456 19225 23070 26903 30760 38450 46140 53806 57675 76900 80709 92280 107612 115350 134515 153800 161418 215224 230700 269030 322836 403545 461400 538060 645672 672575 807090 1076120 1345150 1614180 2017725 2690300 3228360 4035450 5380600 8070900 16141800 20688407 41376814 62065221 82753628 103442035 124130442 165507256 206884070 248260884 310326105 413768140 496521768 517210175 620652210 827536280 1034420350 1241304420 1551630525 2068840700 2482608840 3103261050 4137681400 6206522100 12413044200