Search a number
-
+
133055314033131 = 32737136494182049
BaseRepresentation
bin11110010000001101011010…
…101110100111100111101011
3122110002222000121101120212200
4132100031122232213213223
5114414434240343030011
61150552433433111243
740011633501403350
oct3620153256474753
9573088017346780
10133055314033131
1139439495032776
1212b0b017558523
1359320a6a859b9
1424bdca9470627
15105b119e6a856
hex79035aba79eb

133055314033131 has 48 divisors (see below), whose sum is σ = 225599850840000. Its totient is φ = 73971262070784.

The previous prime is 133055314033129. The next prime is 133055314033189. The reversal of 133055314033131 is 131330413550331.

133055314033131 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 5 + 314 + 0 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 133055314033131 - 21 = 133055314033129 is a prime.

It is a super-2 number, since 2×1330553140331312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133055314033121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29724795 + ... + 33906843.

It is an arithmetic number, because the mean of its divisors is an integer number (4699996892500).

Almost surely, 2133055314033131 is an apocalyptic number.

133055314033131 is a deficient number, since it is larger than the sum of its proper divisors (92544536806869).

133055314033131 is a wasteful number, since it uses less digits than its factorization.

133055314033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195748 (or 4195745 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Adding to 133055314033131 its reverse (131330413550331), we get a palindrome (264385727583462).

The spelling of 133055314033131 in words is "one hundred thirty-three trillion, fifty-five billion, three hundred fourteen million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 13649 40947 95543 122841 286629 505013 859887 1515039 3535091 4182049 4545117 10605273 12546147 29274343 31815819 37638441 87823029 154735813 263469087 464207439 1083150691 1392622317 3249452073 9748356219 57080786801 171242360403 399565507607 513727081209 1198696522821 2111989111637 3596089568463 6335967334911 14783923781459 19007902004733 44351771344377 133055314033131