Search a number
-
+
12040100400 = 2435217590201
BaseRepresentation
bin10110011011010010…
…10101101000110000
31011002002120110202110
423031221111220300
5144124231203100
65310421045320
7604236110346
oct131551255060
934062513673
1012040100400
1151193606a9
122400256840
13119b564c83
14823099996
154a7042250
hex2cda55a30

12040100400 has 120 divisors (see below), whose sum is σ = 40837256784. Its totient is φ = 3021824000.

The previous prime is 12040100399. The next prime is 12040100453. The reversal of 12040100400 is 400104021.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 274701 + ... + 315500.

Almost surely, 212040100400 is an apocalyptic number.

12040100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12040100400 is an abundant number, since it is smaller than the sum of its proper divisors (28797156384).

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

12040100400 is a wasteful number, since it uses less digits than its factorization.

12040100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590239 (or 590228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12040100400 its reverse (400104021), we get a palindrome (12440204421).

The spelling of 12040100400 in words is "twelve billion, forty million, one hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 590201 1180402 1770603 2360804 2951005 3541206 4721608 5902010 7082412 8853015 9443216 10033417 11804020 14164824 14755025 17706030 20066834 23608040 28329648 29510050 30100251 35412060 40133668 44265075 47216080 50167085 59020100 60200502 70824120 80267336 88530150 100334170 118040200 120401004 141648240 150501255 160534672 177060300 200668340 236080400 240802008 250835425 301002510 354120600 401336680 481604016 501670850 602005020 708241200 752506275 802673360 1003341700 1204010040 1505012550 2006683400 2408020080 3010025100 4013366800 6020050200 12040100400