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213122242202301 = 354320396424749
BaseRepresentation
bin110000011101010101100011…
…100010100100101010111101
31000221121021202111101212200000
4300131111203202210222331
5210413243323000433201
62033135001220424513
762614400560550445
oct6035254342445275
91027537674355600
10213122242202301
11619a86a9701a13
121baa0627848139
1391bc45881b083
143a8b258a97125
151998bea482d86
hexc1d5638a4abd

213122242202301 has 24 divisors (see below), whose sum is σ = 326669138796000. Its totient is φ = 138777273985392.

The previous prime is 213122242202263. The next prime is 213122242202383. The reversal of 213122242202301 is 103202242221312.

213122242202301 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 2 + 2 + 422 + 0 + 230 + 1 = 666.

213122242202301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213122242202301 - 210 = 213122242201277 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 (213122242212301) 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, 10198201926 + ... + 10198222823.

It is an arithmetic number, because the mean of its divisors is an integer number (13611214116500).

Almost surely, 2213122242202301 is an apocalyptic number.

It is an amenable number.

213122242202301 is a deficient number, since it is larger than the sum of its proper divisors (113546896593699).

213122242202301 is an equidigital number, since it uses as much as digits as its factorization.

213122242202301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20396424807 (or 20396424795 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213122242202301 its reverse (103202242221312), we get a palindrome (316324484423613).

The spelling of 213122242202301 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred two thousand, three hundred one".

Divisors: 1 3 9 27 43 81 129 243 387 1161 3483 10449 20396424749 61189274247 183567822741 550703468223 877046264207 1652110404669 2631138792621 4956331214007 7893416377863 23680249133589 71040747400767 213122242202301