Search a number
-
+
31289013 = 3273137433
BaseRepresentation
bin111011101011…
…0111010110101
32011212122110100
41313112322311
531002222023
63034344313
7526644420
oct167267265
964778410
1031289013
1116730998
12a58b099
136636912
1442269b7
152b30c43
hex1dd6eb5

31289013 has 48 divisors (see below), whose sum is σ = 54885376. Its totient is φ = 16796160.

The previous prime is 31289009. The next prime is 31289017. The reversal of 31289013 is 31098213.

It is an interprime number because it is at equal distance from previous prime (31289009) and next prime (31289017).

It is not a de Polignac number, because 31289013 - 22 = 31289009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31289017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72045 + ... + 72477.

Almost surely, 231289013 is an apocalyptic number.

It is an amenable number.

31289013 is a deficient number, since it is larger than the sum of its proper divisors (23596363).

31289013 is a wasteful number, since it uses less digits than its factorization.

31289013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 31289013 is about 5593.6582841643. The cubic root of 31289013 is about 315.1112834324. Note that the first 3 decimals are identical.

The spelling of 31289013 in words is "thirty-one million, two hundred eighty-nine thousand, thirteen".

Divisors: 1 3 7 9 21 31 37 63 93 111 217 259 279 333 433 651 777 1147 1299 1953 2331 3031 3441 3897 8029 9093 10323 13423 16021 24087 27279 40269 48063 72261 93961 112147 120807 144189 281883 336441 496651 845649 1009323 1489953 3476557 4469859 10429671 31289013