Search a number
-
+
202220012111121 = 3237607267303637
BaseRepresentation
bin101101111110101100000011…
…111111010000010100010001
3222112000001012100002011121200
4231332230003333100110101
5203001133041100023441
61554030331401341413
760410625262025064
oct5576540377202421
9875001170064550
10202220012111121
1159485030a76644
121a81b714a97869
1388ab35ab9a794
1437d17023108db
15185a3173507b6
hexb7eb03fd0511

202220012111121 has 12 divisors (see below), whose sum is σ = 299990047997172. Its totient is φ = 131169737585376.

The previous prime is 202220012111087. The next prime is 202220012111197. The reversal of 202220012111121 is 121111210022202.

202220012111121 is a `hidden beast` number, since 202 + 220 + 0 + 1 + 211 + 11 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95870808980496 + 106349203130625 = 9791364^2 + 10312575^2 .

It is not a de Polignac number, because 202220012111121 - 26 = 202220012111057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202220012111094 and 202220012111103.

It is not an unprimeable number, because it can be changed into a prime (202220012112121) 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, 303633651486 + ... + 303633652151.

It is an arithmetic number, because the mean of its divisors is an integer number (24999170666431).

Almost surely, 2202220012111121 is an apocalyptic number.

It is an amenable number.

202220012111121 is a deficient number, since it is larger than the sum of its proper divisors (97770035886051).

202220012111121 is a wasteful number, since it uses less digits than its factorization.

202220012111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607267303680 (or 607267303677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202220012111121 its reverse (121111210022202), we get a palindrome (323331222133323).

The spelling of 202220012111121 in words is "two hundred two trillion, two hundred twenty billion, twelve million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 607267303637 1821801910911 5465405732733 22468890234569 67406670703707 202220012111121