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201022011201000 = 233531150911967733
BaseRepresentation
bin101101101101010000010101…
…100100011101010111101000
3222100202111221121000100102010
4231231100111210131113220
5202322021034331413000
61551312123112235520
760225234556223313
oct5555202544352750
9870674847010363
10201022011201000
1159062a57765350
121a6674b499bba0
1388223a97cbac2
14378d7354c597a
15183909cde7d50
hexb6d41591d5e8

201022011201000 has 256 divisors, whose sum is σ = 685550100268800. Its totient is φ = 48636862848000.

The previous prime is 201022011200873. The next prime is 201022011201001. The reversal of 201022011201000 is 102110220102.

201022011201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (201022011201001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10813134 + ... + 22780866.

It is an arithmetic number, because the mean of its divisors is an integer number (2677930079175).

Almost surely, 2201022011201000 is an apocalyptic number.

201022011201000 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 201022011201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342775050134400).

201022011201000 is an abundant number, since it is smaller than the sum of its proper divisors (484528089067800).

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

201022011201000 is a wasteful number, since it uses less digits than its factorization.

201022011201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968277 (or 11968263 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201022011201000 its reverse (102110220102), we get a palindrome (201124121421102).

It can be divided in two parts, 20102 and 2011201000, that added together give a palindrome (2011221102).

The spelling of 201022011201000 in words is "two hundred one trillion, twenty-two billion, eleven million, two hundred one thousand".