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10101122221 = 23264129789
BaseRepresentation
bin10010110100001001…
…01110010010101101
3222001222001011201211
421122010232102231
5131141341402341
64350154034421
7505213056631
oct113204562255
928058034654
1010101122221
1143139026a3
121b5aa18a11
13c4c9349c8
146bb766dc1
153e1bd5181
hex25a12e4ad

10101122221 has 12 divisors (see below), whose sum is σ = 10576224540. Its totient is φ = 9646545920.

The previous prime is 10101122191. The next prime is 10101122233. The reversal of 10101122221 is 12222110101.

It can be written as a sum of positive squares in 2 ways, for example, as 4402986025 + 5698136196 = 66355^2 + 75486^2 .

It is not a de Polignac number, because 10101122221 - 217 = 10100991149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101122021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324195 + ... + 353983.

It is an arithmetic number, because the mean of its divisors is an integer number (881352045).

Almost surely, 210101122221 is an apocalyptic number.

It is an amenable number.

10101122221 is a deficient number, since it is larger than the sum of its proper divisors (475102319).

10101122221 is an equidigital number, since it uses as much as digits as its factorization.

10101122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30476 (or 30453 counting only the distinct ones).

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

Adding to 10101122221 its reverse (12222110101), we get a palindrome (22323232322).

It can be divided in two parts, 10101 and 122221, that multiplied together give a palindrome (1234554321).

The spelling of 10101122221 in words is "ten billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 23 529 641 14743 29789 339089 685147 15758381 19094749 439179227 10101122221