Search a number
-
+
133330003320330 = 23256287235636151
BaseRepresentation
bin11110010100001101001111…
…011111000101111000001010
3122111002020001011202011222100
4132110031033133011320022
5114433434321322222310
61151322542525534230
740040526526666305
oct3624151737057012
9574066034664870
10133330003320330
1139534a33a71903
1212b542b8414376
135951c71b9c16b
1424cd2c6c67b3c
15106334552dec0
hex79434f7c5e0a

133330003320330 has 48 divisors (see below), whose sum is σ = 346713148963584. Its totient is φ = 35549012133600.

The previous prime is 133330003320307. The next prime is 133330003320337. The reversal of 133330003320330 is 33023300033331.

133330003320330 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 0 + 0 + 0 + 3 + 320 + 330 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133330003320294 and 133330003320303.

It is not an unprimeable number, because it can be changed into a prime (133330003320337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117252246 + ... + 118383905.

It is an arithmetic number, because the mean of its divisors is an integer number (7223190603408).

Almost surely, 2133330003320330 is an apocalyptic number.

133330003320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133330003320330 is an abundant number, since it is smaller than the sum of its proper divisors (213383145643254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133330003320330 is a wasteful number, since it uses less digits than its factorization.

133330003320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235642451 (or 235642448 counting only the distinct ones).

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

Adding to 133330003320330 its reverse (33023300033331), we get a palindrome (166353303353661).

The spelling of 133330003320330 in words is "one hundred thirty-three trillion, three hundred thirty billion, three million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6287 12574 18861 31435 37722 56583 62870 94305 113166 188610 282915 565830 235636151 471272302 706908453 1178180755 1413816906 2120725359 2356361510 3534542265 4241450718 7069084530 10603626795 21207253590 1481444481337 2962888962674 4444333444011 7407222406685 8888666888022 13333000332033 14814444813370 22221667220055 26666000664066 44443334440110 66665001660165 133330003320330