Search a number
-
+
235010000033 = 1731795644801
BaseRepresentation
bin1101101011011110110…
…0000000010010100001
3211110121020202221220022
43122313230000102201
512322300030000113
6255543451523225
722656524016644
oct3326754002241
9743536687808
10235010000033
1190738022426
1239668459515
1319213634723
14b535a71a5b
1561a6d2c908
hex36b7b004a1

235010000033 has 16 divisors (see below), whose sum is σ = 260112476160. Its totient is φ = 211341312000.

The previous prime is 235010000021. The next prime is 235010000063. The reversal of 235010000033 is 330000010532.

It is a cyclic number.

It is not a de Polignac number, because 235010000033 - 210 = 235009999009 is a prime.

It is a super-3 number, since 3×2350100000333 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 235009999966 and 235010000020.

It is not an unprimeable number, because it can be changed into a prime (235010000063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2780768 + ... + 2864033.

It is an arithmetic number, because the mean of its divisors is an integer number (16257029760).

Almost surely, 2235010000033 is an apocalyptic number.

It is an amenable number.

235010000033 is a deficient number, since it is larger than the sum of its proper divisors (25102476127).

235010000033 is a wasteful number, since it uses less digits than its factorization.

235010000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644928.

The product of its (nonzero) digits is 270, while the sum is 17.

Adding to 235010000033 its reverse (330000010532), we get a palindrome (565010010565).

The spelling of 235010000033 in words is "two hundred thirty-five billion, ten million, thirty-three", and thus it is an aban number.

Divisors: 1 17 31 79 527 1343 2449 41633 5644801 95961617 174988831 445939279 2974810127 7580967743 13824117649 235010000033