Search a number
-
+
33120455403001 = 294328411934853
BaseRepresentation
bin1111000011111011101001…
…11110101010010111111001
311100021021200111001111220111
413201331310332222113321
513320121143040344001
6154235154400024321
76655605521600251
oct741756476522771
9140237614044814
1033120455403001
11a60a34069896a
12386ab716020a1
1315633265c5535
14827077c92961
153c681447c851
hex1e1f74faa5f9

33120455403001 has 16 divisors (see below), whose sum is σ = 35060614839360. Its totient is φ = 31233554896320.

The previous prime is 33120455402989. The next prime is 33120455403017. The reversal of 33120455403001 is 10030455402133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33120455403001 is a prime.

It is a super-2 number, since 2×331204554030012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33120455406001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34961091 + ... + 35895943.

It is an arithmetic number, because the mean of its divisors is an integer number (2191288427460).

Almost surely, 233120455403001 is an apocalyptic number.

It is an amenable number.

33120455403001 is a deficient number, since it is larger than the sum of its proper divisors (1940159436359).

33120455403001 is a wasteful number, since it uses less digits than its factorization.

33120455403001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963336.

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 33120455403001 in words is "thirty-three trillion, one hundred twenty billion, four hundred fifty-five million, four hundred three thousand, one".

Divisors: 1 29 43 1247 28411 823919 934853 1221673 27110737 35428517 40198679 1165761691 26560108583 770243148907 1142084669069 33120455403001