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201000011122020 = 22351110123324735233
BaseRepresentation
bin101101101100111011110110…
…010000110100010101100100
3222100200102011100222112121010
4231230323312100310111210
5202321141010321401040
61551254044054222220
760223525436515335
oct5554736620642544
9870612140875533
10201000011122020
11590546982453a0
121a663195054970
1388202b194cba6
14378c64972428c
1518387117a0e80
hexb6cef6434564

201000011122020 has 384 divisors, whose sum is σ = 623074489809408. Its totient is φ = 48009166848000.

The previous prime is 201000011121941. The next prime is 201000011122021. The reversal of 201000011122020 is 20221110000102.

201000011122020 is digitally balanced in base 3, 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 a junction number, because it is equal to n+sod(n) for n = 201000011121987 and 201000011122005.

It is not an unprimeable number, because it can be changed into a prime (201000011122021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38410089324 + ... + 38410094556.

It is an arithmetic number, because the mean of its divisors is an integer number (1622589817212).

Almost surely, 2201000011122020 is an apocalyptic number.

201000011122020 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 201000011122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311537244904704).

201000011122020 is an abundant number, since it is smaller than the sum of its proper divisors (422074478687388).

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

201000011122020 is a wasteful number, since it uses less digits than its factorization.

201000011122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8061 counting only the distinct ones).

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

Adding to 201000011122020 its reverse (20221110000102), we get a palindrome (221221121122122).

The spelling of 201000011122020 in words is "two hundred one trillion, eleven million, one hundred twenty-two thousand, twenty".