Search a number
-
+
212101002000211 = 7176132991189919
BaseRepresentation
bin110000001110011110011100…
…111000010111011101010011
31000210222122202111210101111111
4300032132130320113131103
5210300030323003001321
62031033504414554151
762450535361220122
oct6016363470273523
91023878674711444
10212101002000211
11616445911928a5
121b956718508957
139147066c4891c
143a53a59771ab9
15197c3791735e1
hexc0e79ce17753

212101002000211 has 16 divisors (see below), whose sum is σ = 215436443904000. Its totient is φ = 208775396804800.

The previous prime is 212101002000187. The next prime is 212101002000257. The reversal of 212101002000211 is 112000200101212.

It is a cyclic number.

It is not a de Polignac number, because 212101002000211 - 227 = 212100867782483 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212101002000191 and 212101002000200.

It is not an unprimeable number, because it can be changed into a prime (212101002000271) 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, 177653310 + ... + 178843228.

It is an arithmetic number, because the mean of its divisors is an integer number (13464777744000).

Almost surely, 2212101002000211 is an apocalyptic number.

212101002000211 is a deficient number, since it is larger than the sum of its proper divisors (3335441903789).

212101002000211 is a wasteful number, since it uses less digits than its factorization.

212101002000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194050.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212101002000211 its reverse (112000200101212), we get a palindrome (324101202101423).

The spelling of 212101002000211 in words is "two hundred twelve trillion, one hundred one billion, two million, two hundred eleven", and thus it is an aban number.

Divisors: 1 71 761 3299 54031 234229 1189919 2510539 84484249 178248269 905528359 3925542781 64292513489 278713537451 2987338056341 212101002000211