Search a number
-
+
112222002100122 = 23223416611405803
BaseRepresentation
bin11001100001000010111000…
…100100100011011110011010
3112201100022121021111210212200
4121201002320210203132122
5104202121130014200442
61034402024232151030
732431525553655255
oct3141027044433632
9481308537453780
10112222002100122
11328370a16226a2
1210705461538476
134a80649260845
141d9d806a3c09c
15ce924255a34c
hex6610b892379a

112222002100122 has 48 divisors (see below), whose sum is σ = 259907584966848. Its totient is φ = 34908222634560.

The previous prime is 112222002100069. The next prime is 112222002100181. The reversal of 112222002100122 is 221001200222211.

It is a happy number.

112222002100122 is a `hidden beast` number, since 11 + 222 + 200 + 210 + 0 + 1 + 22 = 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 = 112222002100095 and 112222002100104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3305685928 + ... + 3305719875.

It is an arithmetic number, because the mean of its divisors is an integer number (5414741353476).

Almost surely, 2112222002100122 is an apocalyptic number.

112222002100122 is an abundant number, since it is smaller than the sum of its proper divisors (147685582866726).

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

112222002100122 is a wasteful number, since it uses less digits than its factorization.

112222002100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611405875 (or 6611405872 counting only the distinct ones).

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

Adding to 112222002100122 its reverse (221001200222211), we get a palindrome (333223202322333).

The spelling of 112222002100122 in words is "one hundred twelve trillion, two hundred twenty-two billion, two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1886 2829 5658 8487 16974 6611405803 13222811606 19834217409 39668434818 59502652227 119005304454 152062333469 271067637923 304124666938 456187000407 542135275846 813202913769 912374000814 1368561001221 1626405827538 2439608741307 2737122002442 4879217482614 6234555672229 12469111344458 18703667016687 37407334033374 56111001050061 112222002100122