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902011220201 = 72131416030173
BaseRepresentation
bin11010010000001000000…
…11101111000011101001
310012020020201020122200102
431020010003233003221
5104234304333021301
61530213410515145
7122111451603200
oct15100403570351
93166221218612
10902011220201
113185a4900353
12126995895ab5
13670a0361530
143192c562237
15186e3da8b6b
hexd2040ef0e9

902011220201 has 12 divisors (see below), whose sum is σ = 1129992078852. Its totient is φ = 713679206688.

The previous prime is 902011220189. The next prime is 902011220233. The reversal of 902011220201 is 102022110209.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 450831673600 + 451179546601 = 671440^2 + 671699^2 .

It is not a de Polignac number, because 902011220201 - 26 = 902011220137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (902011220281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708014450 + ... + 708015723.

It is an arithmetic number, because the mean of its divisors is an integer number (94166006571).

Almost surely, 2902011220201 is an apocalyptic number.

902011220201 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

902011220201 is a deficient number, since it is larger than the sum of its proper divisors (227980858651).

902011220201 is a wasteful number, since it uses less digits than its factorization.

902011220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416030200 (or 1416030193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 902011220201 in words is "nine hundred two billion, eleven million, two hundred twenty thousand, two hundred one".

Divisors: 1 7 13 49 91 637 1416030173 9912211211 18408392249 69385478477 128858745743 902011220201