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21212120202 = 23713313733871
BaseRepresentation
bin10011110000010101…
…110100010010001010
32000202022100100120120
4103300111310102022
5321420300321302
613424505204110
71350441022020
oct236025642212
960668310516
1021212120202
118aa5763959
12413ba90636
132000853a20
14105328c710
1584239c9bc
hex4f057448a

21212120202 has 128 divisors (see below), whose sum is σ = 55357145088. Its totient is φ = 5267462400.

The previous prime is 21212120183. The next prime is 21212120257. The reversal of 21212120202 is 20202121212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609327 + ... + 643197.

It is an arithmetic number, because the mean of its divisors is an integer number (432477696).

Almost surely, 221212120202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27678572544).

21212120202 is an abundant number, since it is smaller than the sum of its proper divisors (34145024886).

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

21212120202 is a wasteful number, since it uses less digits than its factorization.

21212120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33964.

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

Adding to 21212120202 its reverse (20202121212), we get a palindrome (41414241414).

The spelling of 21212120202 in words is "twenty-one billion, two hundred twelve million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 31 37 39 42 62 74 78 91 93 111 182 186 217 222 259 273 403 434 481 518 546 651 777 806 962 1147 1209 1302 1443 1554 2294 2418 2821 2886 3367 3441 5642 6734 6882 8029 8463 10101 14911 16058 16926 20202 24087 29822 33871 44733 48174 67742 89466 101613 104377 203226 208754 237097 313131 440323 474194 626262 711291 880646 1050001 1253227 1320969 1422582 2100002 2506454 2641938 3082261 3150003 3759681 6164522 6300006 7350007 7519362 8772589 9246783 13650013 14700014 16291951 17545178 18493566 22050021 26317767 27300026 32583902 38850037 40950039 44100042 48875853 52635534 77700074 81900078 95550091 97751706 114043657 116550111 191100182 228087314 233100222 271950259 286650273 342130971 505050481 543900518 573300546 684261942 815850777 1010100962 1515151443 1631701554 3030302886 3535353367 7070706734 10606060101 21212120202