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102010202001 = 3211334466889
BaseRepresentation
bin101111100000001001…
…0000010011110010001
3100202022021012011222200
41133000102002132101
53132404102431001
6114510212353413
710240623260511
oct1370022023621
9322267164880
10102010202001
113a298110674
121792b015869
139809119596
144d1a013841
1529c0965086
hex17c0482791

102010202001 has 6 divisors (see below), whose sum is σ = 147348069570. Its totient is φ = 68006801328.

The previous prime is 102010201961. The next prime is 102010202027. The reversal of 102010202001 is 100202010201.

It can be written as a sum of positive squares in only one way, i.e., 91809000000 + 10201202001 = 303000^2 + 101001^2 .

It is not a de Polignac number, because 102010202001 - 27 = 102010201873 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: 11334466889 = 102010202001 / (1 + 0 + 2 + 0 + 1 + 0 + 2 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (102010202201) 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, 5667233436 + ... + 5667233453.

It is an arithmetic number, because the mean of its divisors is an integer number (24558011595).

Almost surely, 2102010202001 is an apocalyptic number.

It is an amenable number.

102010202001 is a deficient number, since it is larger than the sum of its proper divisors (45337867569).

102010202001 is a wasteful number, since it uses less digits than its factorization.

102010202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334466895 (or 11334466892 counting only the distinct ones).

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

Adding to 102010202001 its reverse (100202010201), we get a palindrome (202212212202).

The spelling of 102010202001 in words is "one hundred two billion, ten million, two hundred two thousand, one".

Divisors: 1 3 9 11334466889 34003400667 102010202001