Search a number
-
+
2351320153 = 713223103839
BaseRepresentation
bin1000110000100110…
…0100110001011001
320001212102102212121
42030021210301121
514303414221103
61025152541241
7112160614540
oct21411446131
96055372777
102351320153
11aa72936a6
12557551821
132b61a3400
141843cb157
15db65c6bd
hex8c264c59

2351320153 has 48 divisors (see below), whose sum is σ = 3069480960. Its totient is φ = 1760121792.

The previous prime is 2351320117. The next prime is 2351320157. The reversal of 2351320153 is 3510231532.

It is not a de Polignac number, because 2351320153 - 217 = 2351189081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2351320157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2802108 + ... + 2802946.

It is an arithmetic number, because the mean of its divisors is an integer number (63947520).

Almost surely, 22351320153 is an apocalyptic number.

2351320153 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2351320153 is a deficient number, since it is larger than the sum of its proper divisors (718160807).

2351320153 is a wasteful number, since it uses less digits than its factorization.

2351320153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 2351320153 is about 48490.4130009222. The cubic root of 2351320153 is about 1329.7518056852.

Adding to 2351320153 its reverse (3510231532), we get a palindrome (5861551685).

The spelling of 2351320153 in words is "two billion, three hundred fifty-one million, three hundred twenty thousand, one hundred fifty-three".

Divisors: 1 7 13 23 91 103 161 169 299 721 839 1183 1339 2093 2369 3887 5873 9373 10907 16583 17407 19297 27209 30797 76349 86417 121849 135079 141791 215579 250861 400361 604919 992537 1123421 1756027 1987591 2802527 3261193 7863947 13913137 14604473 22828351 25838683 102231311 180870781 335902879 2351320153