Search a number
-
+
213122310 = 23567106031
BaseRepresentation
bin11001011001111…
…11110100000110
3112212000201211220
430230333310012
5414024403220
633051541210
75165336562
oct1454776406
9485021756
10213122310
11aa335a45
125b45a806
133520009b
142043a6a2
1513a9c540
hexcb3fd06

213122310 has 32 divisors (see below), whose sum is σ = 519132672. Its totient is φ = 55983840.

The previous prime is 213122309. The next prime is 213122311. The reversal of 213122310 is 13221312.

It is an interprime number because it is at equal distance from previous prime (213122309) and next prime (213122311).

It is a super-2 number, since 2×2131223102 = 90842238039472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213122310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51006 + ... + 55025.

It is an arithmetic number, because the mean of its divisors is an integer number (16222896).

Almost surely, 2213122310 is an apocalyptic number.

213122310 is an abundant number, since it is smaller than the sum of its proper divisors (306010362).

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

213122310 is a wasteful number, since it uses less digits than its factorization.

213122310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106108.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213122310 is about 14598.7091895140. The cubic root of 213122310 is about 597.3235510091.

Adding to 213122310 its reverse (13221312), we get a palindrome (226343622).

The spelling of 213122310 in words is "two hundred thirteen million, one hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010 106031 212062 318093 530155 636186 1060310 1590465 3180930 7104077 14208154 21312231 35520385 42624462 71040770 106561155 213122310