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201220201000200 = 233525993541158113
BaseRepresentation
bin101101110000001000111010…
…100110100010110100001000
3222101110110111210002022020110
4231300020322212202310020
5202333242432424001300
61551543141215354320
760245452106556054
oct5560107246426410
9871413453068213
10201220201000200
115912a00a734928
121a6999a62229a0
138837ca2a98b35
143799176dd6c64
15183e2ec49b550
hexb7023a9a2d08

201220201000200 has 192 divisors, whose sum is σ = 625004403408000. Its totient is φ = 53553672806400.

The previous prime is 201220201000171. The next prime is 201220201000223. The reversal of 201220201000200 is 2000102022102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272556344 + ... + 1272714456.

It is an arithmetic number, because the mean of its divisors is an integer number (3255231267750).

Almost surely, 2201220201000200 is an apocalyptic number.

201220201000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312502201704000).

201220201000200 is an abundant number, since it is smaller than the sum of its proper divisors (423784202407800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201220201000200 is a wasteful number, since it uses less digits than its factorization.

201220201000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162272 (or 162263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201220201000200 its reverse (2000102022102), we get a palindrome (203220303022302).

The spelling of 201220201000200 in words is "two hundred one trillion, two hundred twenty billion, two hundred one million, two hundred", and thus it is an aban number.