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21002211120200 = 23521131871496687
BaseRepresentation
bin1001100011001111101010…
…10101010101010001001000
32202100210101012111110211112
410301213311111111101020
510223100012021321300
6112400141012345452
74265234241003332
oct461476525252110
982323335443745
1021002211120200
116767a957182a2
122432452015288
13b946666a560b
145287261d8452
152664b07b3e35
hex1319f5555448

21002211120200 has 96 divisors (see below), whose sum is σ = 49288694607360. Its totient is φ = 8322073267200.

The previous prime is 21002211120193. The next prime is 21002211120251. The reversal of 21002211120200 is 202111220012.

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, 42036257 + ... + 42532943.

It is an arithmetic number, because the mean of its divisors is an integer number (513423902160).

Almost surely, 221002211120200 is an apocalyptic number.

21002211120200 is a gapful number since it is divisible by the number (20) 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 21002211120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24644347303680).

21002211120200 is an abundant number, since it is smaller than the sum of its proper divisors (28286483487160).

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

21002211120200 is a wasteful number, since it uses less digits than its factorization.

21002211120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498687 (or 498678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21002211120200 its reverse (202111220012), we get a palindrome (21204322340212).

The spelling of 21002211120200 in words is "twenty-one trillion, two billion, two hundred eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 1871 2260 2825 3742 4520 5650 7484 9355 11300 14968 18710 22600 37420 46775 74840 93550 187100 211423 374200 422846 496687 845692 993374 1057115 1691384 1986748 2114230 2483435 3973496 4228460 4966870 5285575 8456920 9933740 10571150 12417175 19867480 21142300 24834350 42284600 49668700 56125631 99337400 112251262 224502524 280628155 449005048 561256310 929301377 1122512620 1403140775 1858602754 2245025240 2806281550 3717205508 4646506885 5612563100 7434411016 9293013770 11225126200 18586027540 23232534425 37172055080 46465068850 92930137700 105011055601 185860275400 210022111202 420044222404 525055278005 840088444808 1050110556010 2100221112020 2625276390025 4200442224040 5250552780050 10501105560100 21002211120200