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331868133 = 3237996601
BaseRepresentation
bin10011110001111…
…110011111100101
3212010110122111100
4103301332133211
51134424240013
652533030313
711136555402
oct2361763745
9763418440
10331868133
11160370493
1293185399
13539a819c
143210b2a9
151e206473
hex13c7e7e5

331868133 has 12 divisors (see below), whose sum is σ = 492321388. Its totient is φ = 215265600.

The previous prime is 331868093. The next prime is 331868161.

331868133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 132296004 + 199572129 = 11502^2 + 14127^2 .

It is not a de Polignac number, because 331868133 - 212 = 331864037 is a prime.

It is a super-2 number, since 2×3318681332 = 220272915401811378, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331868233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497968 + ... + 498633.

Almost surely, 2331868133 is an apocalyptic number.

It is an amenable number.

331868133 is a deficient number, since it is larger than the sum of its proper divisors (160453255).

331868133 is a wasteful number, since it uses less digits than its factorization.

331868133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996644 (or 996641 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 331868133 is about 18217.2482279844. The cubic root of 331868133 is about 692.3438690184.

It can be divided in two parts, 3 and 31868133, that added together give a triangular number (31868136 = T7983).

The spelling of 331868133 in words is "three hundred thirty-one million, eight hundred sixty-eight thousand, one hundred thirty-three".

Divisors: 1 3 9 37 111 333 996601 2989803 8969409 36874237 110622711 331868133