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10000102221 = 323730030337
BaseRepresentation
bin10010101000000110…
…10111001101001101
3221210220221211100100
421110003113031031
5130440011232341
64332144521313
7502545315654
oct112403271515
927726854310
1010000102221
11427188489a
121b31020239
13c34a24b65
146ac18c19b
153d7dcd3b6
hex2540d734d

10000102221 has 12 divisors (see below), whose sum is σ = 14834986972. Its totient is φ = 6486552576.

The previous prime is 10000102201. The next prime is 10000102241. The reversal of 10000102221 is 12220100001.

It is an interprime number because it is at equal distance from previous prime (10000102201) and next prime (10000102241).

It can be written as a sum of positive squares in 2 ways, for example, as 5854545225 + 4145556996 = 76515^2 + 64386^2 .

It is not a de Polignac number, because 10000102221 - 27 = 10000102093 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000102201) 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, 15014836 + ... + 15015501.

Almost surely, 210000102221 is an apocalyptic number.

It is an amenable number.

10000102221 is a deficient number, since it is larger than the sum of its proper divisors (4834884751).

10000102221 is a wasteful number, since it uses less digits than its factorization.

10000102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30030380 (or 30030377 counting only the distinct ones).

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

Adding to 10000102221 its reverse (12220100001), we get a palindrome (22220202222).

The spelling of 10000102221 in words is "ten billion, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 30030337 90091011 270273033 1111122469 3333367407 10000102221