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90201002021 = 1319712151283
BaseRepresentation
bin101010000000001100…
…1100001000000100101
322121211021002200001122
41110000121201000211
52434212424031041
6105234320303325
76342156603164
oct1240031410045
9277737080048
1090201002021
1135288128969
1215594171b45
13867666a6a0
1445198a13db
15252dd32c4b
hex1500661025

90201002021 has 16 divisors (see below), whose sum is σ = 102268501440. Its totient is φ = 78867613440.

The previous prime is 90201001997. The next prime is 90201002027. The reversal of 90201002021 is 12020010209.

It is a cyclic number.

It is not a de Polignac number, because 90201002021 - 210 = 90201000997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90201002027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1733246 + ... + 1784528.

It is an arithmetic number, because the mean of its divisors is an integer number (6391781340).

Almost surely, 290201002021 is an apocalyptic number.

It is an amenable number.

90201002021 is a deficient number, since it is larger than the sum of its proper divisors (12067499419).

90201002021 is a wasteful number, since it uses less digits than its factorization.

90201002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58436.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 90201002021 in words is "ninety billion, two hundred one million, two thousand, twenty-one".

Divisors: 1 13 19 247 7121 51283 92573 135299 666679 974377 1758887 12666901 365186243 4747421159 6938538617 90201002021