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112332012101 is a prime number
BaseRepresentation
bin110100010011110000…
…0100111101001000101
3101201221121111110120122
41220213200213221011
53320023443341401
6123334332511325
711054456230361
oct1504740475105
9351847443518
10112332012101
1143704546341
121992b91b545
13a79269cb1a
145618bc62a1
152dc6bde21b
hex1a27827a45

112332012101 has 2 divisors, whose sum is σ = 112332012102. Its totient is φ = 112332012100.

The previous prime is 112332012061. The next prime is 112332012109. The reversal of 112332012101 is 101210233211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64452007876 + 47880004225 = 253874^2 + 218815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112332012101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112332012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112332012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56166006050 + 56166006051.

It is an arithmetic number, because the mean of its divisors is an integer number (56166006051).

Almost surely, 2112332012101 is an apocalyptic number.

It is an amenable number.

112332012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112332012101 is an equidigital number, since it uses as much as digits as its factorization.

112332012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 112332012101 its reverse (101210233211), we get a palindrome (213542245312).

The spelling of 112332012101 in words is "one hundred twelve billion, three hundred thirty-two million, twelve thousand, one hundred one".