Search a number
-
+
13230120312 = 2333211331877
BaseRepresentation
bin11000101001001001…
…11001110101111000
31021011000210202012000
430110210321311320
5204043402322222
610024451221000
7645566111223
oct142444716570
937130722160
1013230120312
11567a070232
1226928a7760
13132ac73976
148d714c5ba
1552675a9ac
hex314939d78

13230120312 has 128 divisors (see below), whose sum is σ = 37078291200. Its totient is φ = 4370889600.

The previous prime is 13230120311. The next prime is 13230120313. The reversal of 13230120312 is 21302103231.

13230120312 is a `hidden beast` number, since 1 + 3 + 230 + 120 + 312 = 666.

13230120312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13230120311) and next prime (13230120313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230120311) 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 31 ways as a sum of consecutive naturals, for example, 15085218 + ... + 15086094.

It is an arithmetic number, because the mean of its divisors is an integer number (289674150).

Almost surely, 213230120312 is an apocalyptic number.

13230120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539145600).

13230120312 is an abundant number, since it is smaller than the sum of its proper divisors (23848170888).

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

13230120312 is a wasteful number, since it uses less digits than its factorization.

13230120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13230120312 its reverse (21302103231), we get a palindrome (34532223543).

The spelling of 13230120312 in words is "thirteen billion, two hundred thirty million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 331 422 633 662 844 877 993 1266 1324 1688 1754 1899 1986 2532 2631 2648 2979 3508 3798 3972 5064 5262 5697 5958 7016 7596 7893 7944 8937 10524 11394 11916 15192 15786 17874 21048 22788 23679 23832 31572 35748 45576 47358 63144 69841 71496 94716 139682 185047 189432 209523 279364 290287 370094 419046 555141 558728 580574 628569 740188 838092 870861 1110282 1161148 1257138 1480376 1665423 1676184 1741722 1885707 2220564 2322296 2514276 2612583 3330846 3483444 3771414 4441128 4996269 5028552 5225166 6661692 6966888 7542828 7837749 9992538 10450332 13323384 15085656 15675498 19985076 20900664 31350996 39970152 61250557 62701992 122501114 183751671 245002228 367503342 490004456 551255013 735006684 1102510026 1470013368 1653765039 2205020052 3307530078 4410040104 6615060156 13230120312