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213322131213210 = 23255749412288381
BaseRepresentation
bin110000100000001111101101…
…110110101000101110011010
31000222022101201002211201202100
4300200033231312220232122
5210430032211042310320
62033410500103544230
762635005163243215
oct6040175566505632
91028271632751670
10213322131213210
1161a75453856398
121bb1331215b076
139205262b49916
143a96bbc12677c
15199dee8cd1790
hexc203edda8b9a

213322131213210 has 48 divisors (see below), whose sum is σ = 554734017981000. Its totient is φ = 56876006597760.

The previous prime is 213322131213187. The next prime is 213322131213221. The reversal of 213322131213210 is 12312131223312.

213322131213210 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 21 + 312 + 1 + 321 + 0 = 666.

213322131213210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 146082442812849 + 67239688400361 = 12086457^2 + 8199981^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205626781 + ... + 206661600.

Almost surely, 2213322131213210 is an apocalyptic number.

213322131213210 is an abundant number, since it is smaller than the sum of its proper divisors (341411886767790).

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

213322131213210 is a wasteful number, since it uses less digits than its factorization.

213322131213210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412294143 (or 412294140 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213322131213210 its reverse (12312131223312), we get a palindrome (225634262436522).

The spelling of 213322131213210 in words is "two hundred thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 5749 11498 17247 28745 34494 51741 57490 86235 103482 172470 258705 517410 412288381 824576762 1236865143 2061441905 2473730286 3710595429 4122883810 6184325715 7421190858 12368651430 18552977145 37105954290 2370245902369 4740491804738 7110737707107 11851229511845 14221475414214 21332213121321 23702459023690 35553688535535 42664426242642 71107377071070 106661065606605 213322131213210