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10200100221 = 323187741687
BaseRepresentation
bin10010111111111100…
…10010110101111101
3222022212021210000200
421133332102311331
5131342211201341
64404051314113
7510524264343
oct113776226575
928285253020
1010200100221
1143647662a3
121b87bab939
13c672ab27c
146ca96d993
153ea736db6
hex25ff92d7d

10200100221 has 24 divisors (see below), whose sum is σ = 15226458624. Its totient is φ = 6573048480.

The previous prime is 10200100199. The next prime is 10200100289. The reversal of 10200100221 is 12200100201.

It is not a de Polignac number, because 10200100221 - 25 = 10200100189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200100321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223840 + ... + 265526.

It is an arithmetic number, because the mean of its divisors is an integer number (634435776).

Almost surely, 210200100221 is an apocalyptic number.

It is an amenable number.

10200100221 is a deficient number, since it is larger than the sum of its proper divisors (5026358403).

10200100221 is a wasteful number, since it uses less digits than its factorization.

10200100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42601 (or 42598 counting only the distinct ones).

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

Adding to 10200100221 its reverse (12200100201), we get a palindrome (22400200422).

The spelling of 10200100221 in words is "ten billion, two hundred million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 31 93 279 877 2631 7893 27187 41687 81561 125061 244683 375183 1292297 3876891 11630673 36559499 109678497 329035491 1133344469 3400033407 10200100221