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10100200221 = 321122244469
BaseRepresentation
bin10010110100000010…
…01101001100011101
3222001220022022222200
421122001031030131
5131141122401341
64350122202113
7505202166606
oct113201151435
928056268880
1010100200221
114313332a11
121b5a653339
13c4c6a1147
146bb5a6dad
153e1aa1db6
hex25a04d31d

10100200221 has 6 divisors (see below), whose sum is σ = 14589178110. Its totient is φ = 6733466808.

The previous prime is 10100200217. The next prime is 10100200223. The reversal of 10100200221 is 12200200101.

It can be written as a sum of positive squares in only one way, i.e., 7329756996 + 2770443225 = 85614^2 + 52635^2 .

It is not a de Polignac number, because 10100200221 - 22 = 10100200217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122244469 = 10100200221 / (1 + 0 + 1 + 0 + 0 + 2 + 0 + 0 + 2 + 2 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100200223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561122226 + ... + 561122243.

It is an arithmetic number, because the mean of its divisors is an integer number (2431529685).

Almost surely, 210100200221 is an apocalyptic number.

It is an amenable number.

10100200221 is a deficient number, since it is larger than the sum of its proper divisors (4488977889).

10100200221 is a wasteful number, since it uses less digits than its factorization.

10100200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122244475 (or 1122244472 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100200221 its reverse (12200200101), we get a palindrome (22300400322).

The spelling of 10100200221 in words is "ten billion, one hundred million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 1122244469 3366733407 10100200221