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21002212121228 = 2213312678161979
BaseRepresentation
bin1001100011001111101010…
…11001001001101010001100
32202100210101021101022222122
410301213311121021222030
510223100012300334403
6112400141050032112
74265234252342642
oct461476531115214
982323337338878
1021002212121228
116767a96241398
122432452418638
13b94666966140
145287263b9192
152664b0910838
hex1319f5649a8c

21002212121228 has 72 divisors (see below), whose sum is σ = 40905780305040. Its totient is φ = 9379105948800.

The previous prime is 21002212121227. The next prime is 21002212121257. The reversal of 21002212121228 is 82212121220012.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 21002212121197 and 21002212121206.

It is not an unprimeable number, because it can be changed into a prime (21002212121221) 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, 338829143 + ... + 338891121.

It is an arithmetic number, because the mean of its divisors is an integer number (568135837570).

Almost surely, 221002212121228 is an apocalyptic number.

It is an amenable number.

21002212121228 is a deficient number, since it is larger than the sum of its proper divisors (19903568183812).

21002212121228 is a wasteful number, since it uses less digits than its factorization.

21002212121228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68839 (or 68806 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 21002212121228 in words is "twenty-one trillion, two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 4 13 26 31 52 62 124 403 806 961 1612 1922 3844 6781 12493 13562 24986 27124 49972 61979 88153 123958 176306 210211 247916 352612 420422 805727 840844 1611454 1921349 2732743 3222908 3842698 5465486 6516541 7685396 10930972 13033082 24977537 26066164 49955074 59561819 84715033 99910148 119123638 169430066 238247276 338860132 420279599 774303647 840559198 1548607294 1681118396 3097214588 5463634787 10927269574 13028667569 21854539148 26057335138 52114670276 169372678397 338745356794 403888694639 677490713588 807777389278 1615554778556 5250553030307 10501106060614 21002212121228