Search a number
-
+
221211010122221 = 747255291258737
BaseRepresentation
bin110010010011000010110011…
…101011011100000111101101
31002000020120021122021211112002
4302103002303223130013231
5212443310122042402341
62102250533553222045
764410653022464240
oct6223026353340755
91060216248254462
10221211010122221
1164537076289239
1220988213861925
139658154bba322
143c8a954753257
151a893154ee29b
hexc930b3adc1ed

221211010122221 has 24 divisors (see below), whose sum is σ = 258311690851776. Its totient is φ = 185571120343680.

The previous prime is 221211010122211. The next prime is 221211010122229. The reversal of 221211010122221 is 122221010112122.

It is not a de Polignac number, because 221211010122221 - 218 = 221211009860077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221211010122193 and 221211010122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211010122229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854835365 + ... + 855094101.

It is an arithmetic number, because the mean of its divisors is an integer number (10762987118824).

Almost surely, 2221211010122221 is an apocalyptic number.

It is an amenable number.

221211010122221 is a deficient number, since it is larger than the sum of its proper divisors (37100680729555).

221211010122221 is an equidigital number, since it uses as much as digits as its factorization.

221211010122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314129 (or 314082 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221211010122221 its reverse (122221010112122), we get a palindrome (343432020234343).

The spelling of 221211010122221 in words is "two hundred twenty-one trillion, two hundred eleven billion, ten million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 47 329 2209 15463 55291 258737 387037 1811159 2598677 12160639 18190739 85124473 122137819 571550033 854964733 4000850231 14305827467 100140792269 672373890949 4706617236643 31601572874603 221211010122221