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213211312321332 = 223134331784632129
BaseRepresentation
bin110000011110101000100000…
…100010000111001100110100
31000221220210122221112201220110
4300132220200202013030310
5210421223231423240312
62033243531422303020
762624003036223663
oct6036504042071464
91027823587481813
10213211312321332
1161a32456441736
121bab5945127a70
1391c7981ab3c10
143a916a829adda
15199b1aed7e43c
hexc1ea20887334

213211312321332 has 48 divisors (see below), whose sum is σ = 548221334978240. Its totient is φ = 64077818370048.

The previous prime is 213211312321253. The next prime is 213211312321363. The reversal of 213211312321332 is 233123213112312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213211312321332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15892309357 + ... + 15892322772.

Almost surely, 2213211312321332 is an apocalyptic number.

It is an amenable number.

213211312321332 is an abundant number, since it is smaller than the sum of its proper divisors (335010022656908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213211312321332 is a wasteful number, since it uses less digits than its factorization.

213211312321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31784632192 (or 31784632190 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 213211312321332 its reverse (233123213112312), we get a palindrome (446334525433644).

The spelling of 213211312321332 in words is "two hundred thirteen trillion, two hundred eleven billion, three hundred twelve million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 31784632129 63569264258 95353896387 127138528516 190707792774 381415585548 413200217677 826400435354 1239600653031 1366739181547 1652800870708 2479201306062 2733478363094 4100217544641 4958402612124 5466956726188 8200435089282 16400870178564 17767609360111 35535218720222 53302828080333 71070437440444 106605656160666 213211312321332