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212313032302221 = 3489151371945637
BaseRepresentation
bin110000010001100011111010…
…110111110001111010001101
31000211201221001021012201220000
4300101203322313301322031
5210312014042232132341
62031315132140114513
762502052602104664
oct6021437267617215
91024657037181800
10212313032302221
11617164a6821a54
121b98b830b35a39
13916105777bba6
143a600114bbddb
151982b388518b6
hexc118fadf1e8d

212313032302221 has 40 divisors (see below), whose sum is σ = 320743910999160. Its totient is φ = 139942344148992.

The previous prime is 212313032302141. The next prime is 212313032302307. The reversal of 212313032302221 is 122203230313212.

212313032302221 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 130 + 3 + 2 + 302 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75174622308900 + 137138409993321 = 8670330^2 + 11710611^2 .

It is not a de Polignac number, because 212313032302221 - 213 = 212313032294029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313032302121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108149815 + ... + 110095451.

It is an arithmetic number, because the mean of its divisors is an integer number (8018597774979).

Almost surely, 2212313032302221 is an apocalyptic number.

It is an amenable number.

212313032302221 is a deficient number, since it is larger than the sum of its proper divisors (108430878696939).

212313032302221 is a wasteful number, since it uses less digits than its factorization.

212313032302221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960875 (or 1960866 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212313032302221 its reverse (122203230313212), we get a palindrome (334516262615433).

The spelling of 212313032302221 in words is "two hundred twelve trillion, three hundred thirteen billion, thirty-two million, three hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 15137 45411 136233 408699 1226097 1347193 1945637 4041579 5836911 12124737 17510733 36374211 52532199 109122633 157596597 173161693 519485079 1558455237 4675365711 14026097133 29451107269 88353321807 265059965421 795179896263 2385539688789 2621148546941 7863445640823 23590336922469 70771010767407 212313032302221