Search a number
-
+
3331135412199 = 33722517865013
BaseRepresentation
bin110000011110010111001…
…001001001011111100111
3102210110020112222010022000
4300132113021021133213
5414034131131142244
611030145200340343
7462444432551100
oct60362711113747
912713215863260
103331135412199
1110747aa108aa1
1245971a6146b3
131b2181022b2a
14b732919d3a7
155b9b555a169
hex307972497e7

3331135412199 has 24 divisors (see below), whose sum is σ = 5740732231920. Its totient is φ = 1903505949072.

The previous prime is 3331135412191. The next prime is 3331135412261. The reversal of 3331135412199 is 9912145311333.

3331135412199 is a `hidden beast` number, since 3 + 3 + 3 + 1 + 13 + 541 + 2 + 1 + 99 = 666.

It is not a de Polignac number, because 3331135412199 - 23 = 3331135412191 is a prime.

It is a super-2 number, since 2×33311354121992 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331135412191) 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 23 ways as a sum of consecutive naturals, for example, 1258931184 + ... + 1258933829.

It is an arithmetic number, because the mean of its divisors is an integer number (239197176330).

Almost surely, 23331135412199 is an apocalyptic number.

3331135412199 is a deficient number, since it is larger than the sum of its proper divisors (2409596819721).

3331135412199 is a wasteful number, since it uses less digits than its factorization.

3331135412199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517865036 (or 2517865023 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 3331135412199 in words is "three trillion, three hundred thirty-one billion, one hundred thirty-five million, four hundred twelve thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 2517865013 7553595039 17625055091 22660785117 52875165273 67982355351 123375385637 158625495819 370126156911 475876487457 1110378470733 3331135412199