Search a number
-
+
33301020231 = 3217217653727
BaseRepresentation
bin11111000000111001…
…010011111001000111
310011221210202002211200
4133000321103321013
51021200030121411
623144232233543
72256142000353
oct370071237107
9104853662750
1033301020231
1113139615426
12655453b8b3
1331a92438cb
14187ca0c463
15ced82de56
hex7c0e53e47

33301020231 has 12 divisors (see below), whose sum is σ = 50930972352. Its totient is φ = 20894757696.

The previous prime is 33301020217. The next prime is 33301020241. The reversal of 33301020231 is 13202010333.

33301020231 is a `hidden beast` number, since 3 + 330 + 102 + 0 + 231 = 666.

It is a de Polignac number, because none of the positive numbers 2k-33301020231 is a prime.

It is a super-2 number, since 2×333010202312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33301020241) 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 in 11 ways as a sum of consecutive naturals, for example, 108826711 + ... + 108827016.

It is an arithmetic number, because the mean of its divisors is an integer number (4244247696).

Almost surely, 233301020231 is an apocalyptic number.

33301020231 is a deficient number, since it is larger than the sum of its proper divisors (17629952121).

33301020231 is a wasteful number, since it uses less digits than its factorization.

33301020231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217653750 (or 217653747 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33301020231 its reverse (13202010333), we get a palindrome (46503030564).

The spelling of 33301020231 in words is "thirty-three billion, three hundred one million, twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 17 51 153 217653727 652961181 1958883543 3700113359 11100340077 33301020231