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201020201221122 = 232102841108592769
BaseRepresentation
bin101101101101001110101001…
…101011111011110000000010
3222100202100021110012211210100
4231231032221223323300002
5202322003333003033442
61551311223334143230
760225141660522123
oct5555165153736002
9870670243184710
10201020201221122
1159062209004708
121a66708a7b1b16
13882217b8263aa
14378d602d7204a
151838ee406c84c
hexb6d3a9afbc02

201020201221122 has 24 divisors (see below), whose sum is σ = 435548008441260. Its totient is φ = 67006081566720.

The previous prime is 201020201221069. The next prime is 201020201221129. The reversal of 201020201221122 is 221122102020102.

It is a happy number.

201020201221122 is a `hidden beast` number, since 20 + 102 + 0 + 201 + 221 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 194016455982441 + 7003745238681 = 13928979^2 + 2646459^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201020201221095 and 201020201221104.

It is not an unprimeable number, because it can be changed into a prime (201020201221129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52445247 + ... + 56147522.

Almost surely, 2201020201221122 is an apocalyptic number.

201020201221122 is an abundant number, since it is smaller than the sum of its proper divisors (234527807220138).

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

201020201221122 is a wasteful number, since it uses less digits than its factorization.

201020201221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108695618 (or 108695615 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201020201221122 its reverse (221122102020102), we get a palindrome (422142303241224).

The spelling of 201020201221122 in words is "two hundred one trillion, twenty billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 102841 205682 308523 617046 925569 1851138 108592769 217185538 325778307 651556614 977334921 1954669842 11167788956729 22335577913458 33503366870187 67006733740374 100510100610561 201020201221122