Search a number
-
+
33321202330131 = 3223160971991933
BaseRepresentation
bin1111001001110001100100…
…11011011010101000010011
311100222110211212211000210200
413210320302123122220103
513331413310244031011
6154511314331230243
710006243312404342
oct744706233325023
9140873755730720
1033321202330131
11a687496040511
1238a1a572a8383
1315792395a4611
14832a7d245b59
153cbb63293856
hex1e4e326daa13

33321202330131 has 12 divisors (see below), whose sum is σ = 50223261483408. Its totient is φ = 21248302935024.

The previous prime is 33321202330127. The next prime is 33321202330139. The reversal of 33321202330131 is 13103320212333.

33321202330131 is a `hidden beast` number, since 3 + 3 + 321 + 2 + 0 + 2 + 3 + 301 + 31 = 666.

It is not a de Polignac number, because 33321202330131 - 22 = 33321202330127 is a prime.

It is a super-2 number, since 2×333212023301312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33321202330095 and 33321202330104.

It is not an unprimeable number, because it can be changed into a prime (33321202330139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80485995760 + ... + 80485996173.

It is an arithmetic number, because the mean of its divisors is an integer number (4185271790284).

Almost surely, 233321202330131 is an apocalyptic number.

33321202330131 is a deficient number, since it is larger than the sum of its proper divisors (16902059153277).

33321202330131 is a wasteful number, since it uses less digits than its factorization.

33321202330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160971991962 (or 160971991959 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 33321202330131 its reverse (13103320212333), we get a palindrome (46424522542464).

The spelling of 33321202330131 in words is "thirty-three trillion, three hundred twenty-one billion, two hundred two million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 207 160971991933 482915975799 1448747927397 3702355814459 11107067443377 33321202330131