Search a number
-
+
213223122306 = 23410912075157
BaseRepresentation
bin1100011010010100010…
…1101010010110000010
3202101100212220220020000
43012211011222112002
511443140104403211
6241541531300430
721255603430665
oct3064505522602
9671325826200
10213223122306
1182477991757
12353a7baa716
13171509b27bc
14a46a32b6dc
15582e29b656
hex31a516a582

213223122306 has 40 divisors (see below), whose sum is σ = 482161058940. Its totient is φ = 70422309792.

The previous prime is 213223122271. The next prime is 213223122317. The reversal of 213223122306 is 603221322312.

213223122306 is a `hidden beast` number, since 2 + 1 + 322 + 31 + 2 + 2 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 177417021681 + 35806100625 = 421209^2 + 189225^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 213223122306.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6019921 + ... + 6055236.

Almost surely, 2213223122306 is an apocalyptic number.

213223122306 is an abundant number, since it is smaller than the sum of its proper divisors (268937936634).

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

213223122306 is a wasteful number, since it uses less digits than its factorization.

213223122306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075280 (or 12075271 counting only the distinct ones).

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

Adding to 213223122306 its reverse (603221322312), we get a palindrome (816444444618).

The spelling of 213223122306 in words is "two hundred thirteen billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1962 2943 5886 8829 17658 12075157 24150314 36225471 72450942 108676413 217352826 326029239 652058478 978087717 1316192113 1956175434 2632384226 3948576339 7897152678 11845729017 23691458034 35537187051 71074374102 106611561153 213223122306