Search a number
-
+
204002631125400 = 233522831201428923
BaseRepresentation
bin101110011000101000010000…
…010111001000100110011000
3222202022110110010020210000110
4232120220100113020212120
5203214334342032003100
62001513303121404320
760653463242445312
oct5630502027104630
9882273403223013
10204002631125400
115a002036a29418
121aa690b04996a0
1389aa49a207843
143853acc5887b2
15188b89b027250
hexb98a105c8998

204002631125400 has 96 divisors (see below), whose sum is σ = 634642814813760. Its totient is φ = 54208472960640.

The previous prime is 204002631125399. The next prime is 204002631125401. The reversal of 204002631125400 is 4521136200402.

It is an interprime number because it is at equal distance from previous prime (204002631125399) and next prime (204002631125401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204002631125401) by changing a digit.

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, 600544662 + ... + 600884261.

It is an arithmetic number, because the mean of its divisors is an integer number (6610862654310).

Almost surely, 2204002631125400 is an apocalyptic number.

204002631125400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204002631125400 is an abundant number, since it is smaller than the sum of its proper divisors (430640183688360).

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

204002631125400 is a wasteful number, since it uses less digits than its factorization.

204002631125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201429225 (or 1201429216 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 204002631125400 its reverse (4521136200402), we get a palindrome (208523767325802).

The spelling of 204002631125400 in words is "two hundred four trillion, two billion, six hundred thirty-one million, one hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 283 300 566 600 849 1132 1415 1698 2264 2830 3396 4245 5660 6792 7075 8490 11320 14150 16980 21225 28300 33960 42450 56600 84900 169800 1201428923 2402857846 3604286769 4805715692 6007144615 7208573538 9611431384 12014289230 14417147076 18021433845 24028578460 28834294152 30035723075 36042867690 48057156920 60071446150 72085735380 90107169225 120142892300 144171470760 180214338450 240285784600 340004385209 360428676900 680008770418 720857353800 1020013155627 1360017540836 1700021926045 2040026311254 2720035081672 3400043852090 4080052622508 5100065778135 6800087704180 8160105245016 8500109630225 10200131556270 13600175408360 17000219260450 20400263112540 25500328890675 34000438520900 40800526225080 51000657781350 68000877041800 102001315562700 204002631125400