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202001022000221 = 31342113883110419
BaseRepresentation
bin101101111011100000000111…
…001010010001110001011101
3222111020002221112112220021112
4231323200013022101301131
5202434041043113001341
61553341553255311405
760356043430553213
oct5573400712216135
9874202845486245
10202001022000221
1159400174844014
121a7a519967b565
1388937cb4940c2
1437c4c8a10acb3
15185479bb46aeb
hexb7b807291c5d

202001022000221 has 16 divisors (see below), whose sum is σ = 203144209170240. Its totient is φ = 200861083463040.

The previous prime is 202001022000199. The next prime is 202001022000241. The reversal of 202001022000221 is 122000220100202.

202001022000221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202001022000221 - 214 = 202001021983837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202001022000196 and 202001022000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001022000241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1829349350 + ... + 1829459768.

It is an arithmetic number, because the mean of its divisors is an integer number (12696513073140).

Almost surely, 2202001022000221 is an apocalyptic number.

It is an amenable number.

202001022000221 is a deficient number, since it is larger than the sum of its proper divisors (1143187170019).

202001022000221 is a wasteful number, since it uses less digits than its factorization.

202001022000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125036.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202001022000221 its reverse (122000220100202), we get a palindrome (324001242100423).

The spelling of 202001022000221 in words is "two hundred two trillion, one billion, twenty-two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 313 421 13883 110419 131773 4345379 5844743 34561147 46486399 1532946977 1829404559 14550242887 479812403801 645370677317 202001022000221