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102202001001 = 3211355777889
BaseRepresentation
bin101111100101110110…
…1101100011001101001
3100202210122002120202100
41133023231230121221
53133302203013001
6114541223324013
710245442450332
oct1371355543151
9322718076670
10102202001001
113a386402041
12179832b0609
139839a91b09
144d3769d289
1529d26ee586
hex17cbb6c669

102202001001 has 6 divisors (see below), whose sum is σ = 147625112570. Its totient is φ = 68134667328.

The previous prime is 102202000997. The next prime is 102202001047. The reversal of 102202001001 is 100100202201.

It can be written as a sum of positive squares in only one way, i.e., 92976206400 + 9225794601 = 304920^2 + 96051^2 .

It is not a de Polignac number, because 102202001001 - 22 = 102202000997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11355777889 = 102202001001 / (1 + 0 + 2 + 2 + 0 + 2 + 0 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102202001051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5677888936 + ... + 5677888953.

Almost surely, 2102202001001 is an apocalyptic number.

It is an amenable number.

102202001001 is a deficient number, since it is larger than the sum of its proper divisors (45423111569).

102202001001 is a wasteful number, since it uses less digits than its factorization.

102202001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355777895 (or 11355777892 counting only the distinct ones).

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

Adding to 102202001001 its reverse (100100202201), we get a palindrome (202302203202).

The spelling of 102202001001 in words is "one hundred two billion, two hundred two million, one thousand, one".

Divisors: 1 3 9 11355777889 34067333667 102202001001