Search a number
-
+
1230131310 = 23523277513
BaseRepresentation
bin100100101010010…
…0101000001101110
310011201201010220220
41021110211001232
510004403200220
6322021552210
742324641442
oct11124450156
93151633826
101230131310
11581416951
122a3b75666
13167b14165
14b9534822
1572edd540
hex4952506e

1230131310 has 48 divisors (see below), whose sum is σ = 3086297424. Its totient is φ = 313768576.

The previous prime is 1230131299. The next prime is 1230131321. The reversal of 1230131310 is 131310321.

It is an interprime number because it is at equal distance from previous prime (1230131299) and next prime (1230131321).

It is a super-2 number, since 2×12301313102 = 3026446079684632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1230131310.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22887 + ... + 54626.

It is an arithmetic number, because the mean of its divisors is an integer number (64297863).

Almost surely, 21230131310 is an apocalyptic number.

1230131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1230131310 is an abundant number, since it is smaller than the sum of its proper divisors (1856166114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1230131310 is a wasteful number, since it uses less digits than its factorization.

1230131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77569 (or 77546 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1230131310 is about 35073.2278240826. The cubic root of 1230131310 is about 1071.4793959636.

Adding to 1230131310 its reverse (131310321), we get a palindrome (1361441631).

The spelling of 1230131310 in words is "one billion, two hundred thirty million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 1058 1587 2645 3174 5290 7935 15870 77513 155026 232539 387565 465078 775130 1162695 1782799 2325390 3565598 5348397 8913995 10696794 17827990 26741985 41004377 53483970 82008754 123013131 205021885 246026262 410043770 615065655 1230131310