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112827433001 is a prime number
BaseRepresentation
bin110100100010100001…
…0100000000000101001
3101210020010201110021212
41221011002200000221
53322032310324001
6123455431242505
711102653233233
oct1510502400051
9353203643255
10112827433001
11439391653a8
1219a49819435
13a84121089a
145664909253
152e054507bb
hex1a450a0029

112827433001 has 2 divisors, whose sum is σ = 112827433002. Its totient is φ = 112827433000.

The previous prime is 112827432953. The next prime is 112827433009. The reversal of 112827433001 is 100334728211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103732949776 + 9094483225 = 322076^2 + 95365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112827433001 is a prime.

It is not a weakly prime, because it can be changed into another prime (112827433009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56413716500 + 56413716501.

It is an arithmetic number, because the mean of its divisors is an integer number (56413716501).

Almost surely, 2112827433001 is an apocalyptic number.

It is an amenable number.

112827433001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112827433001 is an equidigital number, since it uses as much as digits as its factorization.

112827433001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 112827433001 in words is "one hundred twelve billion, eight hundred twenty-seven million, four hundred thirty-three thousand, one".