Search a number
-
+
306131133 = 37114132323
BaseRepresentation
bin10010001111110…
…011000010111101
3210100001001222010
4102033303002331
51111332144013
650213241433
710405033410
oct2217630275
9710031863
10306131133
11147891940
1286633279
134b5666a9
142c92bb77
151bd207c3
hex123f30bd

306131133 has 32 divisors (see below), whose sum is σ = 521321472. Its totient is φ = 155145600.

The previous prime is 306131057. The next prime is 306131159. The reversal of 306131133 is 331131603.

It is not a de Polignac number, because 306131133 - 212 = 306127037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306131533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6691 + ... + 25632.

It is an arithmetic number, because the mean of its divisors is an integer number (16291296).

Almost surely, 2306131133 is an apocalyptic number.

306131133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

306131133 is a deficient number, since it is larger than the sum of its proper divisors (215190339).

306131133 is a wasteful number, since it uses less digits than its factorization.

306131133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32385.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 306131133 is about 17496.6034703882. The cubic root of 306131133 is about 673.9626557278.

Adding to 306131133 its reverse (331131603), we get a palindrome (637262736).

The spelling of 306131133 in words is "three hundred six million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 451 861 1353 3157 9471 32323 96969 226261 355553 678783 1066659 1325243 2488871 3975729 7466613 9276701 14577673 27830103 43733019 102043711 306131133