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33001001129 is a prime number
BaseRepresentation
bin11110101111000000…
…110101000010101001
310011011220012120000002
4132233000311002221
51020041224014004
623054353552345
72245536611165
oct365700650251
9104156176002
1033001001129
1112aa5228658
12648bb756b5
13315c03a205
141850c31ca5
15cd231961e
hex7af0350a9

33001001129 has 2 divisors, whose sum is σ = 33001001130. Its totient is φ = 33001001128.

The previous prime is 33001001119. The next prime is 33001001141. The reversal of 33001001129 is 92110010033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23635987600 + 9365013529 = 153740^2 + 96773^2 .

It is an emirp because it is prime and its reverse (92110010033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33001001129 - 212 = 33000997033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33001001129.

It is not a weakly prime, because it can be changed into another prime (33001001119) 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, 16500500564 + 16500500565.

It is an arithmetic number, because the mean of its divisors is an integer number (16500500565).

Almost surely, 233001001129 is an apocalyptic number.

It is an amenable number.

33001001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

33001001129 is an equidigital number, since it uses as much as digits as its factorization.

33001001129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 33001001129 in words is "thirty-three billion, one million, one thousand, one hundred twenty-nine".