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112103331201 = 3218168817269
BaseRepresentation
bin110100001100111100…
…0010001010110000001
3101201100200012021100200
41220121320101112001
53314041423044301
6123255523235413
711046011410251
oct1503170212601
9351320167320
10112103331201
11435a7453a64
1219887218b69
13a7571b3094
1455d6699961
152db1abbc86
hex1a19e11581

112103331201 has 12 divisors (see below), whose sum is σ = 162821660820. Its totient is φ = 74322649440.

The previous prime is 112103331191. The next prime is 112103331203. The reversal of 112103331201 is 102133301211.

112103331201 is a `hidden beast` number, since 1 + 1 + 210 + 333 + 120 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27133996176 + 84969335025 = 164724^2 + 291495^2 .

It is not a de Polignac number, because 112103331201 - 210 = 112103330177 is a prime.

It is a super-3 number, since 3×1121033312013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (112103331203) 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, 34407006 + ... + 34410263.

It is an arithmetic number, because the mean of its divisors is an integer number (13568471735).

Almost surely, 2112103331201 is an apocalyptic number.

It is an amenable number.

112103331201 is a deficient number, since it is larger than the sum of its proper divisors (50718329619).

112103331201 is a wasteful number, since it uses less digits than its factorization.

112103331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68817456 (or 68817453 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112103331201 its reverse (102133301211), we get a palindrome (214236632412).

The spelling of 112103331201 in words is "one hundred twelve billion, one hundred three million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 181 543 1629 68817269 206451807 619355421 12455925689 37367777067 112103331201