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21002212012200 = 23352229715238871
BaseRepresentation
bin1001100011001111101010…
…11000101111000010101000
32202100210101021011210102120
410301213311120233002220
510223100012233342300
6112400141043431240
74265234251410036
oct461476530570250
982323337153376
1021002212012200
116767a96177491
122432452385520
13b94666928623
1452872638b556
152664b08dd3a0
hex1319f562f0a8

21002212012200 has 96 divisors (see below), whose sum is σ = 65135205812160. Its totient is φ = 5598151283200.

The previous prime is 21002212012163. The next prime is 21002212012207. The reversal of 21002212012200 is 221021220012.

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 21002212012200.

It is not an unprimeable number, because it can be changed into a prime (21002212012207) 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, 6241236 + ... + 8997635.

It is an arithmetic number, because the mean of its divisors is an integer number (678491727210).

Almost surely, 221002212012200 is an apocalyptic number.

21002212012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002212012200 is an abundant number, since it is smaller than the sum of its proper divisors (44132993799960).

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

21002212012200 is a wasteful number, since it uses less digits than its factorization.

21002212012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15241187 (or 15241178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21002212012200 its reverse (221021220012), we get a palindrome (21223233232212).

The spelling of 21002212012200 in words is "twenty-one trillion, two billion, two hundred twelve million, twelve 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 2297 4594 6891 9188 11485 13782 18376 22970 27564 34455 45940 55128 57425 68910 91880 114850 137820 172275 229700 275640 344550 459400 689100 1378200 15238871 30477742 45716613 60955484 76194355 91433226 121910968 152388710 182866452 228583065 304777420 365732904 380971775 457166130 609554840 761943550 914332260 1142915325 1523887100 1828664520 2285830650 3047774200 4571661300 9143322600 35003686687 70007373374 105011060061 140014746748 175018433435 210022120122 280029493496 350036866870 420044240244 525055300305 700073733740 840088480488 875092167175 1050110600610 1400147467480 1750184334350 2100221201220 2625276501525 3500368668700 4200442402440 5250553003050 7000737337400 10501106006100 21002212012200