Search a number
-
+
333013141 is a prime number
BaseRepresentation
bin10011110110010…
…110000010010101
3212012121211011001
4103312112002111
51140222410031
653013343301
711152364536
oct2366260225
9765554131
10333013141
11160a8277a
1293637b31
1353cb93c6
143232868d
151e380861
hex13d96095

333013141 has 2 divisors, whose sum is σ = 333013142. Its totient is φ = 333013140.

The previous prime is 333013103. The next prime is 333013207. The reversal of 333013141 is 141310333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238826116 + 94187025 = 15454^2 + 9705^2 .

It is a cyclic number.

It is not a de Polignac number, because 333013141 - 27 = 333013013 is a prime.

It is a super-2 number, since 2×3330131412 = 221795504157371762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333013841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166506570 + 166506571.

It is an arithmetic number, because the mean of its divisors is an integer number (166506571).

Almost surely, 2333013141 is an apocalyptic number.

It is an amenable number.

333013141 is a deficient number, since it is larger than the sum of its proper divisors (1).

333013141 is an equidigital number, since it uses as much as digits as its factorization.

333013141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 333013141 is about 18248.6476485245. The cubic root of 333013141 is about 693.1391942628.

Adding to 333013141 its reverse (141310333), we get a palindrome (474323474).

It can be divided in two parts, 3330 and 13141, that added together give a triangular number (16471 = T181).

The spelling of 333013141 in words is "three hundred thirty-three million, thirteen thousand, one hundred forty-one".