Search a number
-
+
12413301320 = 235726333317
BaseRepresentation
bin10111000111110001…
…11111001001001000
31012001002211001011202
423203320333021020
5200410301120240
65411432043332
7616420214600
oct134370771110
935032731152
1012413301320
11529aa92012
1224a5233548
13122a982514
1485a885c00
154c9bb0315
hex2e3e3f248

12413301320 has 48 divisors (see below), whose sum is σ = 32489921340. Its totient is φ = 4255988352.

The previous prime is 12413301311. The next prime is 12413301337. The reversal of 12413301320 is 2310331421.

It can be written as a sum of positive squares in 2 ways, for example, as 12409514404 + 3786916 = 111398^2 + 1946^2 .

It is a super-2 number, since 2×124133013202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12413301292 and 12413301301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3164699 + ... + 3168618.

Almost surely, 212413301320 is an apocalyptic number.

12413301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12413301320 is an abundant number, since it is smaller than the sum of its proper divisors (20076620020).

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

12413301320 is a wasteful number, since it uses less digits than its factorization.

12413301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333342 (or 6333331 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12413301320 its reverse (2310331421), we get a palindrome (14723632741).

The spelling of 12413301320 in words is "twelve billion, four hundred thirteen million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6333317 12666634 25333268 31666585 44333219 50666536 63333170 88666438 126666340 177332876 221666095 253332680 310332533 354665752 443332190 620665066 886664380 1241330132 1551662665 1773328760 2482660264 3103325330 6206650660 12413301320