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202212221002121 = 114315125711016311
BaseRepresentation
bin101101111110100100110011…
…100110100010000110001001
3222111222022002100201211022002
4231332210303212202012021
5203001021112034031441
61554023002323040345
760410231225502431
oct5576446346420611
9874868070654262
10202212221002121
11594817a3104090
121a81a0bb8100b5
1388aa6b8a05805
1437d11a36a12c1
15185a00d368b9b
hexb7e9339a2189

202212221002121 has 32 divisors (see below), whose sum is σ = 228104285054976. Its totient is φ = 177671047680000.

The previous prime is 202212221002111. The next prime is 202212221002189. The reversal of 202212221002121 is 121200122212202.

202212221002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202212221002121 - 214 = 202212220985737 is a prime.

It is a super-2 number, since 2×2022122210021212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202212221002093 and 202212221002102.

It is not an unprimeable number, because it can be changed into a prime (202212221002111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12847556 + ... + 23863866.

It is an arithmetic number, because the mean of its divisors is an integer number (7128258907968).

Almost surely, 2202212221002121 is an apocalyptic number.

It is an amenable number.

202212221002121 is a deficient number, since it is larger than the sum of its proper divisors (25892064052855).

202212221002121 is a wasteful number, since it uses less digits than its factorization.

202212221002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11016773.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202212221002121 its reverse (121200122212202), we get a palindrome (323412343214323).

The spelling of 202212221002121 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, two thousand, one hundred twenty-one".

Divisors: 1 11 43 151 257 473 1661 2827 6493 11051 38807 71423 121561 426877 1668701 11016311 18355711 121179421 473701373 1663462961 2831191927 5210715103 18298092571 31143111197 71528907323 121741252861 427509980977 786817980553 1339153781471 4702609790747 18382929182011 202212221002121