Search a number
-
+
33233303133 = 34410287693
BaseRepresentation
bin11110111100110110…
…111111011001011101
310011210002022201110000
4132330312333121131
51021030211200013
623133413004513
72254360262412
oct367466773135
9104702281400
1033233303133
1113104373588
126535923739
1331981c4214
141873a22109
15ce7904973
hex7bcdbf65d

33233303133 has 10 divisors (see below), whose sum is σ = 49644810974. Its totient is φ = 22155535368.

The previous prime is 33233303107. The next prime is 33233303141. The reversal of 33233303133 is 33130333233.

33233303133 is a `hidden beast` number, since 3 + 323 + 3 + 303 + 1 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33224904729 + 8398404 = 182277^2 + 2898^2 .

It is not a de Polignac number, because 33233303133 - 212 = 33233299037 is a prime.

It is a super-2 number, since 2×332333031332 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33233303097 and 33233303106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33233303143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 205143766 + ... + 205143927.

Almost surely, 233233303133 is an apocalyptic number.

It is an amenable number.

33233303133 is a deficient number, since it is larger than the sum of its proper divisors (16411507841).

33233303133 is an equidigital number, since it uses as much as digits as its factorization.

33233303133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410287705 (or 410287696 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 33233303133 its reverse (33130333233), we get a palindrome (66363636366).

The spelling of 33233303133 in words is "thirty-three billion, two hundred thirty-three million, three hundred three thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 410287693 1230863079 3692589237 11077767711 33233303133