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21002121200 = 24521926910273
BaseRepresentation
bin10011100011110100…
…101110111111110000
32000012200012022002202
4103203310232333300
5321003020334300
613352004202332
71342311041024
oct234364567760
960180168082
1021002121200
1189a8171565
1240a16993a8
131c991a8468
141033426384
1582dc1aad5
hex4e3d2eff0

21002121200 has 120 divisors (see below), whose sum is σ = 53315895600. Its totient is φ = 7928340480.

The previous prime is 21002121193. The next prime is 21002121223. The reversal of 21002121200 is 212120012.

It is a happy number.

It is a congruent number.

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, 2039264 + ... + 2049536.

It is an arithmetic number, because the mean of its divisors is an integer number (444299130).

Almost surely, 221002121200 is an apocalyptic number.

21002121200 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 21002121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26657947800).

21002121200 is an abundant number, since it is smaller than the sum of its proper divisors (32313774400).

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

21002121200 is a wasteful number, since it uses less digits than its factorization.

21002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579 (or 10568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21002121200 its reverse (212120012), we get a palindrome (21214241212).

The spelling of 21002121200 in words is "twenty-one billion, two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 269 304 380 400 475 538 760 950 1076 1345 1520 1900 2152 2690 3800 4304 5111 5380 6725 7600 10222 10273 10760 13450 20444 20546 21520 25555 26900 40888 41092 51110 51365 53800 81776 82184 102220 102730 107600 127775 164368 195187 204440 205460 255550 256825 390374 408880 410920 511100 513650 780748 821840 975935 1022200 1027300 1561496 1951870 2044400 2054600 2763437 3122992 3903740 4109200 4879675 5526874 7807480 9759350 11053748 13817185 15614960 19518700 22107496 27634370 39037400 44214992 52505303 55268740 69085925 78074800 105010606 110537480 138171850 210021212 221074960 262526515 276343700 420042424 525053030 552687400 840084848 1050106060 1105374800 1312632575 2100212120 2625265150 4200424240 5250530300 10501060600 21002121200