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102221000001 = 3329283461309
BaseRepresentation
bin101111100110011011…
…0001010110101000001
3100202211221211211111000
41133030312022311001
53133322034000001
6114543142442213
710246063110111
oct1371466126501
9322757754430
10102221000001
113a3960a929a
1217989733369
1398409b4723
144d3a007041
1529d4203a86
hex17ccd8ad41

102221000001 has 32 divisors (see below), whose sum is σ = 157214448000. Its totient is φ = 65564783424.

The previous prime is 102220999999. The next prime is 102221000093. The reversal of 102221000001 is 100000122201.

It is not a de Polignac number, because 102221000001 - 21 = 102220999999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102221000701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9066 + ... + 452243.

It is an arithmetic number, because the mean of its divisors is an integer number (4912951500).

Almost surely, 2102221000001 is an apocalyptic number.

It is an amenable number.

102221000001 is a deficient number, since it is larger than the sum of its proper divisors (54993447999).

102221000001 is a wasteful number, since it uses less digits than its factorization.

102221000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461630 (or 461624 counting only the distinct ones).

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

Adding to 102221000001 its reverse (100000122201), we get a palindrome (202221122202).

The spelling of 102221000001 in words is "one hundred two billion, two hundred twenty-one million, one", and thus it is an aban number.

Divisors: 1 3 9 27 29 87 261 283 783 849 2547 7641 8207 24621 73863 221589 461309 1383927 4151781 12455343 13377961 40133883 120401649 130550447 361204947 391651341 1174954023 3524862069 3785962963 11357888889 34073666667 102221000001