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101202210221 = 722299019001
BaseRepresentation
bin101111001000000011…
…1110010110110101101
3100200012221210221122012
41132100013302312231
53124230231211341
6114254110331005
710211612410400
oct1362007626655
9320187727565
10101202210221
1139a13011472
12177444b9a65
13970a8c8c38
144c809a7d37
152974a600eb
hex17901f2dad

101202210221 has 12 divisors (see below), whose sum is σ = 118239116220. Its totient is φ = 86365944000.

The previous prime is 101202210209. The next prime is 101202210251. The reversal of 101202210221 is 122012202101.

It can be written as a sum of positive squares in 2 ways, for example, as 88464604900 + 12737605321 = 297430^2 + 112861^2 .

It is a de Polignac number, because none of the positive numbers 2k-101202210221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101202210196 and 101202210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202210251) 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, 4498280 + ... + 4520721.

It is an arithmetic number, because the mean of its divisors is an integer number (9853259685).

Almost surely, 2101202210221 is an apocalyptic number.

It is an amenable number.

101202210221 is a deficient number, since it is larger than the sum of its proper divisors (17036905999).

101202210221 is an equidigital number, since it uses as much as digits as its factorization.

101202210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9019244 (or 9019237 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101202210221 its reverse (122012202101), we get a palindrome (223214412322).

The spelling of 101202210221 in words is "one hundred one billion, two hundred two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 49 229 1603 11221 9019001 63133007 441931049 2065351229 14457458603 101202210221