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221210211202201 = 1345768813541097
BaseRepresentation
bin110010010011000010000100…
…000011110011010010011001
31002000020111012221222111021201
4302103002010003303102121
5212443302003031432301
62102250322413434201
764410624151666324
oct6223020403632231
91060214187874251
10221210211202201
11645367a6315861
122098803019b961
139658058524ba0
143c8a8ba5c97bb
151a892ba2dc201
hexc930840f3499

221210211202201 has 16 divisors (see below), whose sum is σ = 238751575154064. Its totient is φ = 203743889593344.

The previous prime is 221210211202153. The next prime is 221210211202241. The reversal of 221210211202201 is 102202112012122.

It can be written as a sum of positive squares in 8 ways, for example, as 46319240318976 + 174890970883225 = 6805824^2 + 13224635^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210211202201 - 225 = 221210177647769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221210211202241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408547485 + ... + 409088581.

It is an arithmetic number, because the mean of its divisors is an integer number (14921973447129).

Almost surely, 2221210211202201 is an apocalyptic number.

It is an amenable number.

221210211202201 is a deficient number, since it is larger than the sum of its proper divisors (17541363951863).

221210211202201 is a wasteful number, since it uses less digits than its factorization.

221210211202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610380.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221210211202201 its reverse (102202112012122), we get a palindrome (323412323214323).

The spelling of 221210211202201 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred eleven million, two hundred two thousand, two hundred one".

Divisors: 1 13 457 5941 68813 541097 894569 7034261 31447541 247281329 408818033 3214657277 37234507861 484048602193 17016170092477 221210211202201