Search a number
-
+
33309410941 is a prime number
BaseRepresentation
bin11111000001011001…
…010100011001111101
310011222101112101201201
4133001121110121331
51021204202122231
623145132135501
72256303215152
oct370131243175
9104871471651
1033309410941
11131433264a4
126557307591
1331aabc0b21
14187db94229
15cee43a161
hex7c165467d

33309410941 has 2 divisors, whose sum is σ = 33309410942. Its totient is φ = 33309410940.

The previous prime is 33309410899. The next prime is 33309410951. The reversal of 33309410941 is 14901490333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17691660100 + 15617750841 = 133010^2 + 124971^2 .

It is a cyclic number.

It is not a de Polignac number, because 33309410941 - 211 = 33309408893 is a prime.

It is a super-2 number, since 2×333094109412 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33309410941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33309410951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16654705470 + 16654705471.

It is an arithmetic number, because the mean of its divisors is an integer number (16654705471).

Almost surely, 233309410941 is an apocalyptic number.

It is an amenable number.

33309410941 is a deficient number, since it is larger than the sum of its proper divisors (1).

33309410941 is an equidigital number, since it uses as much as digits as its factorization.

33309410941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

It can be divided in two parts, 333094 and 10941, that added together give a triangular number (344035 = T829).

The spelling of 33309410941 in words is "thirty-three billion, three hundred nine million, four hundred ten thousand, nine hundred forty-one".