Search a number
-
+
2210112211122 = 232859914278871
BaseRepresentation
bin100000001010010100111…
…101000000100010110010
321211021200112001002022100
4200022110331000202302
5242202302211223442
64411151142521230
7315450432555114
oct40122475004262
97737615032270
102210112211122
117823377a8962
122b8402136216
1313054989b60a
1478d819833b4
153c7540c784c
hex20294f408b2

2210112211122 has 24 divisors (see below), whose sum is σ = 4789133668800. Its totient is φ = 736618345560.

The previous prime is 2210112211081. The next prime is 2210112211127. The reversal of 2210112211122 is 2211122110122.

2210112211122 is a `hidden beast` number, since 221 + 0 + 112 + 211 + 122 = 666.

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 = 2210112211095 and 2210112211104.

It is not an unprimeable number, because it can be changed into a prime (2210112211127) 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, 6984654 + ... + 7294217.

It is an arithmetic number, because the mean of its divisors is an integer number (199547236200).

Almost surely, 22210112211122 is an apocalyptic number.

2210112211122 is an abundant number, since it is smaller than the sum of its proper divisors (2579021457678).

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

2210112211122 is a wasteful number, since it uses less digits than its factorization.

2210112211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287478 (or 14287475 counting only the distinct ones).

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

Adding to 2210112211122 its reverse (2211122110122), we get a palindrome (4421234321244).

The spelling of 2210112211122 in words is "two trillion, two hundred ten billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 8599 17198 25797 51594 77391 154782 14278871 28557742 42836613 85673226 128509839 257019678 122784011729 245568023458 368352035187 736704070374 1105056105561 2210112211122