Search a number
-
+
133030333022130 = 23353115893707649
BaseRepresentation
bin11110001111110110001001…
…101111100111111110110010
3122110000120112122012202002000
4132033312021233213332302
5114414032110223202010
61150533142531234430
740010060444330445
oct3617661157477662
9573016478182060
10133030333022130
1139429935996435
1212b06205448a16
13592c92546a69b
1424bc9b982b65c
15105a656c997c0
hex78fd89be7fb2

133030333022130 has 64 divisors (see below), whose sum is σ = 366191024256000. Its totient is φ = 34330408519680.

The previous prime is 133030333022117. The next prime is 133030333022269. The reversal of 133030333022130 is 31220333030331.

133030333022130 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 303 + 3 + 302 + 21 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133030333022094 and 133030333022103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7946845455 + ... + 7946862194.

It is an arithmetic number, because the mean of its divisors is an integer number (5721734754000).

Almost surely, 2133030333022130 is an apocalyptic number.

133030333022130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133030333022130 is an abundant number, since it is smaller than the sum of its proper divisors (233160691233870).

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

133030333022130 is a wasteful number, since it uses less digits than its factorization.

133030333022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15893707696 (or 15893707690 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 133030333022130 its reverse (31220333030331), we get a palindrome (164250666052461).

The spelling of 133030333022130 in words is "one hundred thirty-three trillion, thirty billion, three hundred thirty-three million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 15893707649 31787415298 47681122947 79468538245 95362245894 143043368841 158937076490 238405614735 286086737682 429130106523 476811229470 492704937119 715216844205 858260213046 985409874238 1430433688410 1478114811357 2145650532615 2463524685595 2956229622714 4291301065230 4434344434071 4927049371190 7390574056785 8868688868142 13303033302213 14781148113570 22171722170355 26606066604426 44343444340710 66515166511065 133030333022130