Search a number
-
+
33003201012331 = 1155712323437111
BaseRepresentation
bin1111000000100001010000…
…00100101010001001101011
311022212002000211020022100111
413200100220010222021223
513311211023424343311
6154105243343315151
76644255041660624
oct740205004521153
9138762024208314
1033003201012331
11a574640641770
1238502a92abab7
13155525b1a3694
14821513452a4b
153c375056ad21
hex1e042812a26b

33003201012331 has 16 divisors (see below), whose sum is σ = 36071139656448. Its totient is φ = 29946545975200.

The previous prime is 33003201012323. The next prime is 33003201012337. The reversal of 33003201012331 is 13321010230033.

It is a cyclic number.

It is not a de Polignac number, because 33003201012331 - 23 = 33003201012323 is a prime.

It is a super-2 number, since 2×330032010123312 (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 (33003201012337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75284466 + ... + 75721576.

It is an arithmetic number, because the mean of its divisors is an integer number (2254446228528).

Almost surely, 233003201012331 is an apocalyptic number.

33003201012331 is a deficient number, since it is larger than the sum of its proper divisors (3067938644117).

33003201012331 is a wasteful number, since it uses less digits than its factorization.

33003201012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450002.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 33003201012331 its reverse (13321010230033), we get a palindrome (46324211242364).

The spelling of 33003201012331 in words is "thirty-three trillion, three billion, two hundred one million, twelve thousand, three hundred thirty-one".

Divisors: 1 11 557 6127 12323 135553 437111 4808221 6863911 75503021 243470827 2678179097 5386518853 59251707383 3000291001121 33003201012331