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202201010012221 = 115359163718891901
BaseRepresentation
bin101101111110011010010111…
…011000000000000000111101
3222111221020011001021112022221
4231332122113120000000331
5203000330132030342341
61554013510040405341
760406353344610613
oct5576322730000075
9874836131245287
10202201010012221
1159477a6a867480
121a817ab1176851
1388a962017688c
1437d081c78b6b3
151859aa3eeded1
hexb7e69760003d

202201010012221 has 64 divisors (see below), whose sum is σ = 228935146003200. Its totient is φ = 176998761472000.

The previous prime is 202201010012203. The next prime is 202201010012273. The reversal of 202201010012221 is 122210010102202.

It is a happy number.

It is not a de Polignac number, because 202201010012221 - 231 = 202198862528573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202201010012195 and 202201010012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201010012201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 106365601371 + ... + 106365603271.

It is an arithmetic number, because the mean of its divisors is an integer number (3577111656300).

Almost surely, 2202201010012221 is an apocalyptic number.

It is an amenable number.

202201010012221 is a deficient number, since it is larger than the sum of its proper divisors (26734135990979).

202201010012221 is a wasteful number, since it uses less digits than its factorization.

202201010012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202201010012221 its reverse (122210010102202), we get a palindrome (324411020114423).

The spelling of 202201010012221 in words is "two hundred two trillion, two hundred one billion, ten million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 53 59 583 649 1637 1889 1901 3127 18007 20779 20911 34397 86761 96583 100117 100753 111451 112159 954371 1062413 1101287 1108283 1225961 1233749 3092293 3111937 3590989 5118899 5906903 5944427 34015223 34231307 39500879 56307889 64975933 65388697 163891529 164932661 182445287 183604283 190322417 211868351 1802806819 1814259271 2006898157 2019647113 2093546587 2330551861 5878448993 9669600211 9731026999 11229022603 64662938923 106365602321 107041296989 123519248633 311557796629 346828490587 3427135762919 3815113396457 18381910001111 202201010012221