Search a number
-
+
213121025325 = 325213396718367
BaseRepresentation
bin1100011001111100000…
…0001100010100101101
3202101002202210211111100
43012133000030110231
511442432440302300
6241523443113313
721253223553105
oct3063700142455
9671082724440
10213121025325
118242529878a
1235379972839
13171357b66a0
14a45a952205
155825330700
hex319f00c52d

213121025325 has 72 divisors (see below), whose sum is σ = 411212791808. Its totient is φ = 104888960640.

The previous prime is 213121025321. The next prime is 213121025353. The reversal of 213121025325 is 523520121312.

213121025325 is a `hidden beast` number, since 2 + 1 + 3 + 121 + 0 + 2 + 532 + 5 = 666.

It is not a de Polignac number, because 213121025325 - 22 = 213121025321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121025321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11594292 + ... + 11612658.

Almost surely, 2213121025325 is an apocalyptic number.

213121025325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213121025325 is a deficient number, since it is larger than the sum of its proper divisors (198091766483).

213121025325 is a wasteful number, since it uses less digits than its factorization.

213121025325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22363 (or 22355 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 213121025325 its reverse (523520121312), we get a palindrome (736641146637).

The spelling of 213121025325 in words is "two hundred thirteen billion, one hundred twenty-one million, twenty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 3967 11901 18367 19835 35703 51571 55101 59505 91835 99175 154713 165303 178515 238771 257855 275505 297525 459175 464139 716313 773565 826515 892575 1193855 1289275 1377525 2148939 2320695 3581565 3867825 4132575 5969275 10744695 11603475 17907825 53723475 72861889 218585667 364309445 655757001 947204557 1092928335 1821547225 2841613671 3278785005 4736022785 5464641675 8524841013 14208068355 16393925025 23680113925 42624205065 71040341775 213121025325