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112121041041 = 32121131028473
BaseRepresentation
bin110100001101011101…
…1110101000010010001
3101201101220112000200200
41220122323311002101
53314110441303131
6123301355005413
711046315060402
oct1503273650221
9351356460620
10112121041041
114360644a699
1219891139869
13a75aa73c89
1455d8b899a9
152db34192e6
hex1a1aef5091

112121041041 has 12 divisors (see below), whose sum is σ = 161966142468. Its totient is φ = 74741117184.

The previous prime is 112121041027. The next prime is 112121041063. The reversal of 112121041041 is 140140121211.

112121041041 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 210 + 410 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82538417025 + 29582624016 = 287295^2 + 171996^2 .

It is not a de Polignac number, because 112121041041 - 25 = 112121041009 is a prime.

It is a super-2 number, since 2×1121210410412 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112121021041) 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, 405220 + ... + 623253.

It is an arithmetic number, because the mean of its divisors is an integer number (13497178539).

Almost surely, 2112121041041 is an apocalyptic number.

It is an amenable number.

112121041041 is a deficient number, since it is larger than the sum of its proper divisors (49845101427).

112121041041 is a wasteful number, since it uses less digits than its factorization.

112121041041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040592 (or 1040589 counting only the distinct ones).

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

Adding to 112121041041 its reverse (140140121211), we get a palindrome (252261162252).

The spelling of 112121041041 in words is "one hundred twelve billion, one hundred twenty-one million, forty-one thousand, forty-one".

Divisors: 1 3 9 12113 36339 109017 1028473 3085419 9256257 12457893449 37373680347 112121041041