Search a number
-
+
213123211203213 = 32473677611804013
BaseRepresentation
bin110000011101010110011101…
…010011000001001010001101
31000221121101021000202020000200
4300131112131103001022031
5210413302314032000323
62033135241313444113
762614433565122133
oct6035263523011215
91027541230666020
10213123211203213
11619a9056682713
121baa0858270639
1391bc5814c35ac
143a8b30b655753
151998c5558e443
hexc1d59d4c128d

213123211203213 has 48 divisors (see below), whose sum is σ = 315665619250176. Its totient is φ = 138497897905920.

The previous prime is 213123211203157. The next prime is 213123211203229. The reversal of 213123211203213 is 312302112321312.

213123211203213 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 321 + 12 + 0 + 321 + 3 = 666.

It is not a de Polignac number, because 213123211203213 - 214 = 213123211186829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213123211203113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117236395 + ... + 119040407.

It is an arithmetic number, because the mean of its divisors is an integer number (6576367067712).

Almost surely, 2213123211203213 is an apocalyptic number.

It is an amenable number.

213123211203213 is a deficient number, since it is larger than the sum of its proper divisors (102542408046963).

213123211203213 is a wasteful number, since it uses less digits than its factorization.

213123211203213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805194 (or 1805191 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213123211203213 its reverse (312302112321312), we get a palindrome (525425323524525).

The spelling of 213123211203213 in words is "two hundred thirteen trillion, one hundred twenty-three billion, two hundred eleven million, two hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 47 141 367 423 761 1101 2283 3303 6849 17249 35767 51747 107301 155241 279287 321903 837861 1804013 2513583 5412039 13126489 16236117 39379467 84788611 118138401 254365833 662072771 763097499 1372853893 1986218313 4118561679 5958654939 12355685037 31117420237 64524132971 93352260711 193572398913 280056782133 503837378731 580717196739 1511512136193 4534536408579 23680356800357 71041070401071 213123211203213