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21131221200 = 2435229607219
BaseRepresentation
bin10011101011100001…
…001101100011010000
32000112200010021000020
4103223201031203100
5321234043034300
613412455223440
71345436262615
oct235341154320
960480107006
1021131221200
118a64029281
124118977b80
131cb9b6a3ab
14104663050c
1583a21c8a0
hex4eb84d8d0

21131221200 has 120 divisors (see below), whose sum is σ = 70024610400. Its totient is φ = 5440673280.

The previous prime is 21131221193. The next prime is 21131221201. The reversal of 21131221200 is 212213112.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21131221200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268810 + ... + 338409.

It is an arithmetic number, because the mean of its divisors is an integer number (583538420).

Almost surely, 221131221200 is an apocalyptic number.

21131221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131221200 is an abundant number, since it is smaller than the sum of its proper divisors (48893389200).

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

21131221200 is a wasteful number, since it uses less digits than its factorization.

21131221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607269 (or 607258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21131221200 its reverse (212213112), we get a palindrome (21343434312).

The spelling of 21131221200 in words is "twenty-one billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 607219 1214438 1821657 2428876 3036095 3643314 4857752 6072190 7286628 9108285 9715504 12144380 14573256 15180475 17609351 18216570 24288760 29146512 30360950 35218702 36433140 45541425 48577520 52828053 60721900 70437404 72866280 88046755 91082850 105656106 121443800 140874808 145732560 176093510 182165700 211312212 242887600 264140265 281749616 352187020 364331400 422624424 440233775 528280530 704374040 728662800 845248848 880467550 1056561060 1320701325 1408748080 1760935100 2113122120 2641402650 3521870200 4226244240 5282805300 7043740400 10565610600 21131221200