Search a number
-
+
202210212100221 = 33134764291209199
BaseRepresentation
bin101101111110100010111011…
…110111001011100001111101
3222111222002220100122000222000
4231332202323313023201331
5203001003003244201341
61554022031121212513
760410130363223533
oct5576427367134175
9874862810560860
10202210212100221
1159480962137386
121a81983aa91139
1388aa458762670
1437d105296a153
151859e41ce88b6
hexb7e8bbdcb87d

202210212100221 has 32 divisors (see below), whose sum is σ = 322615527360000. Its totient is φ = 124436689504704.

The previous prime is 202210212100139. The next prime is 202210212100283. The reversal of 202210212100221 is 122001212012202.

It is a happy number.

202210212100221 is a `hidden beast` number, since 2 + 0 + 2 + 210 + 21 + 210 + 0 + 221 = 666.

It is not a de Polignac number, because 202210212100221 - 214 = 202210212083837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202210212100194 and 202210212100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202210212100291) 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 31 ways as a sum of consecutive naturals, for example, 166621980 + ... + 167831178.

It is an arithmetic number, because the mean of its divisors is an integer number (10081735230000).

Almost surely, 2202210212100221 is an apocalyptic number.

It is an amenable number.

202210212100221 is a deficient number, since it is larger than the sum of its proper divisors (120405315259779).

202210212100221 is a wasteful number, since it uses less digits than its factorization.

202210212100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685650 (or 1685644 counting only the distinct ones).

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

Adding to 202210212100221 its reverse (122001212012202), we get a palindrome (324211424112423).

The spelling of 202210212100221 in words is "two hundred two trillion, two hundred ten billion, two hundred twelve million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 476429 1209199 1429287 3627597 4287861 6193577 10882791 12863583 15719587 18580731 32648373 47158761 55742193 141476283 167226579 424428849 576097470371 1728292411113 5184877233339 7489267114823 15554631700017 22467801344469 67403404033407 202210212100221