Search a number
-
+
12102202220202 = 23229103225090247
BaseRepresentation
bin1011000000011100001101…
…1101101101111010101010
31120211221220021120211020100
42300013003131231322222
53041240302232021302
641423401442210230
72356232565365043
oct260070335557252
946757807524210
1012102202220202
1139465737165a6
1214355a3053976
1369a30452a3b3
142dba6d2d78ca
1515ec15664d1c
hexb01c376deaa

12102202220202 has 48 divisors (see below), whose sum is σ = 27388981376640. Its totient is φ = 3857146455456.

The previous prime is 12102202220123. The next prime is 12102202220219. The reversal of 12102202220202 is 20202220220121.

12102202220202 is a `hidden beast` number, since 1 + 21 + 0 + 220 + 2 + 220 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112491358 + ... + 112598889.

It is an arithmetic number, because the mean of its divisors is an integer number (570603778680).

Almost surely, 212102202220202 is an apocalyptic number.

12102202220202 is an abundant number, since it is smaller than the sum of its proper divisors (15286779156438).

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

12102202220202 is a wasteful number, since it uses less digits than its factorization.

12102202220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225090387 (or 225090384 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12102202220202 its reverse (20202220220121), we get a palindrome (32304422440323).

The spelling of 12102202220202 in words is "twelve trillion, one hundred two billion, two hundred two million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 103 174 206 261 309 522 618 927 1854 2987 5974 8961 17922 26883 53766 225090247 450180494 675270741 1350541482 2025812223 4051624446 6527617163 13055234326 19582851489 23184295441 39165702978 46368590882 58748554467 69552886323 117497108934 139105772646 208658658969 417317317938 672344567789 1344689135578 2017033703367 4034067406734 6051101110101 12102202220202