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102202000221 = 3234733019547
BaseRepresentation
bin101111100101110110…
…1101100001101011101
3100202210122002112200110
41133023231230031131
53133302203001341
6114541223320233
710245442445136
oct1371355541535
9322718075613
10102202000221
113a3864014a2
12179832b0079
139839a91659
144d3769cc8d
1529d26ee216
hex17cbb6c35d

102202000221 has 32 divisors (see below), whose sum is σ = 145278701568. Its totient is φ = 63759643200.

The previous prime is 102202000183. The next prime is 102202000223. The reversal of 102202000221 is 122000202201.

It is not a de Polignac number, because 102202000221 - 29 = 102201999709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102202000197 and 102202000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202000223) 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 31 ways as a sum of consecutive naturals, for example, 10700370 + ... + 10709916.

It is an arithmetic number, because the mean of its divisors is an integer number (4539959424).

Almost surely, 2102202000221 is an apocalyptic number.

It is an amenable number.

102202000221 is a deficient number, since it is larger than the sum of its proper divisors (43076701347).

102202000221 is a wasteful number, since it uses less digits than its factorization.

102202000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102202000221 its reverse (122000202201), we get a palindrome (224202202422).

The spelling of 102202000221 in words is "one hundred two billion, two hundred two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 23 47 69 141 1081 3243 3301 9547 9903 28641 75923 155147 219581 227769 448709 465441 658743 1346127 3568381 10320307 10705143 30960921 31514647 94543941 724836881 1481188409 2174510643 4443565227 34067333407 102202000221