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202201212120021 = 34193937128910709
BaseRepresentation
bin101101111110011010100011…
…011010111110101111010101
3222111221020200010120200010000
4231332122203122332233111
5203000331040300320041
61554013542100321513
760406361350524312
oct5576324332765725
9874836603520100
10202201212120021
115947806395a014
121a817b489a3299
1388a9652cbb3aa
1437d083b55bd09
151859ab6b22bb6
hexb7e6a36bebd5

202201212120021 has 80 divisors (see below), whose sum is σ = 304206941530800. Its totient is φ = 133842815188992.

The previous prime is 202201212120013. The next prime is 202201212120049. The reversal of 202201212120021 is 120021212102202.

It is a happy number.

202201212120021 is a `hidden beast` number, since 202 + 201 + 21 + 21 + 200 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 537639431121 + 201663572688900 = 733239^2 + 14200830^2 .

It is not a de Polignac number, because 202201212120021 - 23 = 202201212120013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202201212119976 and 202201212120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201212121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18881422615 + ... + 18881433323.

It is an arithmetic number, because the mean of its divisors is an integer number (3802586769135).

Almost surely, 2202201212120021 is an apocalyptic number.

It is an amenable number.

202201212120021 is a deficient number, since it is larger than the sum of its proper divisors (102005729410779).

202201212120021 is a wasteful number, since it uses less digits than its factorization.

202201212120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202201212120021 its reverse (120021212102202), we get a palindrome (322222424222223).

The spelling of 202201212120021 in words is "two hundred two trillion, two hundred one billion, two hundred twelve million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 27 81 193 579 937 1289 1737 2811 3867 5211 8433 10709 11601 15633 25299 32127 34803 75897 96381 104409 180841 248777 289143 542523 746331 867429 1207793 1627569 2066837 2238993 3623379 4882707 6200511 6716979 10034333 10870137 13803901 14648121 18601533 20150937 30102999 32610411 41411703 55804599 90308997 97831233 124235109 167413797 233104049 270926991 372705327 699312147 812780973 1118115981 1936626269 2097936441 2664152893 5809878807 6293809323 7992458679 12934255237 17429636421 18881427969 23977376037 38802765711 52288909263 71932128111 116408297133 156866727789 215796384333 349224891399 1047674674197 2496311260741 7488933782223 22466801346669 67400404040007 202201212120021