Search a number
-
+
5105331 = 3271153139
BaseRepresentation
bin10011011110011010110011
3100121101012100
4103132122303
52301332311
6301231443
761252230
oct23363263
910541170
105105331
112977790
121862583
131099a0a
1496c787
156aca56
hex4de6b3

5105331 has 48 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 2583360.

The previous prime is 5105327. The next prime is 5105341. The reversal of 5105331 is 1335015.

It is a happy number.

It is not a de Polignac number, because 5105331 - 22 = 5105327 is a prime.

It is a super-2 number, since 2×51053312 = 52128809239122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36660 + ... + 36798.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 25105331 is an apocalyptic number.

5105331 is a deficient number, since it is larger than the sum of its proper divisors (4329549).

5105331 is a wasteful number, since it uses less digits than its factorization.

5105331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 5105331 is about 2259.4979530860. The cubic root of 5105331 is about 172.1900167012.

The spelling of 5105331 in words is "five million, one hundred five thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 139 159 231 371 417 477 583 693 973 1113 1251 1529 1749 2919 3339 4081 4587 5247 7367 8757 10703 12243 13761 22101 32109 36729 51569 66303 81037 96327 154707 243111 464121 567259 729333 1701777 5105331