Search a number
-
+
33320330120331 = 341727118925773
BaseRepresentation
bin1111001001101111111100…
…11100001100110010001011
311100222101121002121011220000
413210313332130030302023
513331410014002322311
6154511052012534043
710006212561631542
oct744677634146213
9140871532534800
1033320330120331
11a68708876a371
1238a1853181323
13157912a98b147
148329d9481159
153cbb11906056
hex1e4dfe70cc8b

33320330120331 has 40 divisors (see below), whose sum is σ = 52722190613664. Its totient is φ = 20899159591680.

The previous prime is 33320330120299. The next prime is 33320330120393. The reversal of 33320330120331 is 13302103302333.

33320330120331 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 0 + 3 + 301 + 20 + 331 = 666.

It is not a de Polignac number, because 33320330120331 - 25 = 33320330120299 is a prime.

It is a super-2 number, since 2×333203301203312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33320330120295 and 33320330120304.

It is not an unprimeable number, because it can be changed into a prime (33320330120431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 729840 + ... + 8195933.

Almost surely, 233320330120331 is an apocalyptic number.

33320330120331 is a deficient number, since it is larger than the sum of its proper divisors (19401860493333).

33320330120331 is a wasteful number, since it uses less digits than its factorization.

33320330120331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928513 (or 8928504 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 33320330120331 its reverse (13302103302333), we get a palindrome (46622433422664).

The spelling of 33320330120331 in words is "thirty-three trillion, three hundred twenty billion, three hundred thirty million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 2711 8133 24399 46087 73197 138261 219591 414783 1244349 3733047 8925773 26777319 80331957 151738141 240995871 455214423 722987613 1365643269 4096929807 12290789421 24197770603 72593311809 217779935427 411362100251 653339806281 1234086300753 1960019418843 3702258902259 11106776706777 33320330120331