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10100202221 = 231129388963
BaseRepresentation
bin10010110100000010…
…01101101011101101
3222001220022102201202
421122001031223231
5131141122432341
64350122215245
7505202205464
oct113201155355
928056272652
1010100202221
11431333446a
121b5a654525
13c4c6a2025
146bb5a79db
153e1aa279b
hex25a04daed

10100202221 has 8 divisors (see below), whose sum is σ = 10548703680. Its totient is φ = 9652480992.

The previous prime is 10100202149. The next prime is 10100202247. The reversal of 10100202221 is 12220200101.

It is a happy number.

10100202221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100202221 - 210 = 10100201197 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 (10100202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168515 + ... + 220448.

It is an arithmetic number, because the mean of its divisors is an integer number (1318587960).

Almost surely, 210100202221 is an apocalyptic number.

It is an amenable number.

10100202221 is a deficient number, since it is larger than the sum of its proper divisors (448501459).

10100202221 is a wasteful number, since it uses less digits than its factorization.

10100202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390115.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10100202221 its reverse (12220200101), we get a palindrome (22320402322).

The spelling of 10100202221 in words is "ten billion, one hundred million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 23 1129 25967 388963 8946149 439139227 10100202221