Search a number
-
+
1122112222101 = 321310194957453
BaseRepresentation
bin10000010101000011000…
…110011011001110010101
310222021100221010000222200
4100111003012123032111
5121341041212101401
62215254035115113
7144032662341243
oct20250306331625
93867327100880
101122112222101
113a2981106812
12161581142a99
1381a78c5cb70
143c44c0db793
151e2c6d9a686
hex1054319b395

1122112222101 has 24 divisors (see below), whose sum is σ = 1762790176056. Its totient is φ = 683693654400.

The previous prime is 1122112222097. The next prime is 1122112222109. The reversal of 1122112222101 is 1012222112211.

1122112222101 is a `hidden beast` number, since 11 + 221 + 1 + 222 + 210 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59841879876 + 1062270342225 = 244626^2 + 1030665^2 .

It is not a de Polignac number, because 1122112222101 - 22 = 1122112222097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122112222109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47466910 + ... + 47490543.

It is an arithmetic number, because the mean of its divisors is an integer number (73449590669).

Almost surely, 21122112222101 is an apocalyptic number.

It is an amenable number.

1122112222101 is a deficient number, since it is larger than the sum of its proper divisors (640677953955).

1122112222101 is a wasteful number, since it uses less digits than its factorization.

1122112222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94957573 (or 94957570 counting only the distinct ones).

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

Adding to 1122112222101 its reverse (1012222112211), we get a palindrome (2134334334312).

The spelling of 1122112222101 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 11817 94957453 284872359 854617077 1234446889 3703340667 9590702753 11110022001 28772108259 86316324777 124679135789 374037407367 1122112222101