Search a number
-
+
2011222120122 = 232318135125609
BaseRepresentation
bin11101010001000110001…
…011100001011010111010
321010021022112020121201200
4131101012023201122322
5230422440330320442
64135535341555030
7265206646644315
oct35210613413272
97107275217650
102011222120122
11705a554aa826
12285956275a76
131178714bc437
146d4b505d97c
15374b32e534c
hex1d4462e16ba

2011222120122 has 24 divisors (see below), whose sum is σ = 4359017949780. Its totient is φ = 670196600640.

The previous prime is 2011222120087. The next prime is 2011222120211. The reversal of 2011222120122 is 2210212221102.

It is a happy number.

2011222120122 is a `hidden beast` number, since 201 + 1 + 222 + 120 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1999766485161 + 11455634961 = 1414131^2 + 107031^2 .

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 = 2011222120095 and 2011222120104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17505547 + ... + 17620062.

Almost surely, 22011222120122 is an apocalyptic number.

2011222120122 is an abundant number, since it is smaller than the sum of its proper divisors (2347795829658).

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

2011222120122 is a wasteful number, since it uses less digits than its factorization.

2011222120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35128798 (or 35128795 counting only the distinct ones).

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

Adding to 2011222120122 its reverse (2210212221102), we get a palindrome (4221434341224).

The spelling of 2011222120122 in words is "two trillion, eleven billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 3181 6362 9543 19086 28629 57258 35125609 70251218 105376827 210753654 316130481 632260962 111734562229 223469124458 335203686687 670407373374 1005611060061 2011222120122