Search a number
-
+
33145054133 = 97367931067
BaseRepresentation
bin11110110111100110…
…010110001110110101
310011112221021012120112
4132313212112032311
51020340113213013
623120541312405
72252236211612
oct366746261665
9104487235515
1033145054133
1113069578824
126510265705
133182b36289
14186600d509
15cdecc1ba8
hex7b79963b5

33145054133 has 8 divisors (see below), whose sum is σ = 33578036352. Its totient is φ = 32713934976.

The previous prime is 33145054097. The next prime is 33145054141.

33145054133 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33145054133 is a prime.

It is a super-2 number, since 2×331450541332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33145054133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33145054333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429935 + ... + 501132.

It is an arithmetic number, because the mean of its divisors is an integer number (4197254544).

Almost surely, 233145054133 is an apocalyptic number.

It is an amenable number.

33145054133 is a deficient number, since it is larger than the sum of its proper divisors (432982219).

33145054133 is an equidigital number, since it uses as much as digits as its factorization.

33145054133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931531.

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 331450 and 54133, that added together give a palindrome (385583).

The spelling of 33145054133 in words is "thirty-three billion, one hundred forty-five million, fifty-four thousand, one hundred thirty-three".

Divisors: 1 97 367 35599 931067 90313499 341701589 33145054133