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213132013013322 = 232131066385418791
BaseRepresentation
bin110000011101011110101001…
…111011010000100101001010
31000221122012222102220111121200
4300131132221323100211022
5210413423330312411242
62033143254535045030
762615164653225114
oct6035365173204512
91027565872814550
10213132013013322
1161a01863007947
121baa24b3b10776
1391c0354ba1460
143a8b9045da3b4
1519990bd16d04c
hexc1d7a9ed094a

213132013013322 has 48 divisors (see below), whose sum is σ = 497354674846848. Its totient is φ = 65572930006560.

The previous prime is 213132013013321. The next prime is 213132013013351. The reversal of 213132013013322 is 223310310231312.

213132013013322 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 20 + 1 + 301 + 332 + 2 = 666.

213132013013322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2131320130133222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213132013013321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40214254 + ... + 45204537.

It is an arithmetic number, because the mean of its divisors is an integer number (10361555725976).

Almost surely, 2213132013013322 is an apocalyptic number.

213132013013322 is an abundant number, since it is smaller than the sum of its proper divisors (284222661833526).

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

213132013013322 is a wasteful number, since it uses less digits than its factorization.

213132013013322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85429475 (or 85429472 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213132013013322 its reverse (223310310231312), we get a palindrome (436442323244634).

The spelling of 213132013013322 in words is "two hundred thirteen trillion, one hundred thirty-two billion, thirteen million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 10663 21326 31989 63978 95967 138619 191934 277238 415857 831714 1247571 2495142 85418791 170837582 256256373 512512746 768769119 1110444283 1537538238 2220888566 3331332849 6662665698 9993998547 19987997094 910820568433 1821641136866 2732461705299 5464923410598 8197385115897 11840667389629 16394770231794 23681334779258 35522002168887 71044004337774 106566006506661 213132013013322