Search a number
-
+
133133323131 = 32307450710691
BaseRepresentation
bin111101111111101011…
…1010100101101111011
3110201122021211112220200
41323333113110231323
54140124112320011
6141054405053243
712422111401134
oct1737727245573
9421567745820
10133133323131
1151509321186
12219760b7223
13c7290992a3
14662d698c8b
1536e2e90856
hex1eff5d4b7b

133133323131 has 24 divisors (see below), whose sum is σ = 192990942144. Its totient is φ = 88438541040.

The previous prime is 133133323111. The next prime is 133133323189. The reversal of 133133323131 is 131323331331.

133133323131 is a `hidden beast` number, since 1 + 3 + 3 + 13 + 332 + 313 + 1 = 666.

It is not a de Polignac number, because 133133323131 - 218 = 133133060987 is a prime.

It is a super-2 number, since 2×1331333231312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133133323095 and 133133323104.

It is not an unprimeable number, because it can be changed into a prime (133133323111) 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, 12447496 + ... + 12458186.

It is an arithmetic number, because the mean of its divisors is an integer number (8041289256).

Almost surely, 2133133323131 is an apocalyptic number.

133133323131 is a deficient number, since it is larger than the sum of its proper divisors (59857619013).

133133323131 is a wasteful number, since it uses less digits than its factorization.

133133323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15511 (or 15508 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

Adding to 133133323131 its reverse (131323331331), we get a palindrome (264456654462).

The spelling of 133133323131 in words is "one hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 307 921 2763 4507 10691 13521 32073 40563 96219 1383649 3282137 4150947 9846411 12452841 29539233 48184337 144553011 433659033 14792591459 44377774377 133133323131