Search a number
-
+
201021122200122 = 23273743119073831
BaseRepresentation
bin101101101101001111100000…
…100101001100001000111010
3222100202102122122012102110200
4231231033200211030020322
5202322012224240400442
61551311454554023030
760225203542645110
oct5555174045141072
9870672578172420
10201021122200122
1159062640965884
121a6672a7117a76
138822297586993
14378d68d3cdab0
151839049d4034c
hexb6d3e094c23a

201021122200122 has 48 divisors (see below), whose sum is σ = 511219739352192. Its totient is φ = 55882319683680.

The previous prime is 201021122200081. The next prime is 201021122200163. The reversal of 201021122200122 is 221002221120102.

It is a happy number.

201021122200122 is a `hidden beast` number, since 201 + 0 + 21 + 122 + 200 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (201021122200081) and next prime (201021122200163).

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 = 201021122200095 and 201021122200104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21559532254 + ... + 21559541577.

It is an arithmetic number, because the mean of its divisors is an integer number (10650411236504).

Almost surely, 2201021122200122 is an apocalyptic number.

201021122200122 is an abundant number, since it is smaller than the sum of its proper divisors (310198617152070).

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

201021122200122 is a wasteful number, since it uses less digits than its factorization.

201021122200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43119073883 (or 43119073880 counting only the distinct ones).

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

Adding to 201021122200122 its reverse (221002221120102), we get a palindrome (422023343320224).

The spelling of 201021122200122 in words is "two hundred one trillion, twenty-one billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 43119073831 86238147662 129357221493 258714442986 301833516817 388071664479 603667033634 776143328958 905500550451 1595405731747 1811001100902 2716501651353 3190811463494 4786217195241 5433003302706 9572434390482 11167840122229 14358651585723 22335680244458 28717303171446 33503520366687 67007040733374 100510561100061 201021122200122