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12301300232 = 23131767113919
BaseRepresentation
bin10110111010011011…
…01111001000001000
31011202022001210120022
423131031233020020
5200143113101412
65352351320012
7613560220034
oct133515571010
934668053508
1012301300232
115242843a31
122473820008
1312106c93a0
14849a4d1c4
154bee39a72
hex2dd36f208

12301300232 has 128 divisors (see below), whose sum is σ = 26958355200. Its totient is φ = 5211537408.

The previous prime is 12301300223. The next prime is 12301300237. The reversal of 12301300232 is 23200310321.

12301300232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12301300232.

It is not an unprimeable number, because it can be changed into a prime (12301300237) 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, 13385069 + ... + 13385987.

It is an arithmetic number, because the mean of its divisors is an integer number (210612150).

Almost surely, 212301300232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479177600).

12301300232 is an abundant number, since it is smaller than the sum of its proper divisors (14657054968).

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

12301300232 is a wasteful number, since it uses less digits than its factorization.

12301300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12301300232 its reverse (23200310321), we get a palindrome (35501610553).

The spelling of 12301300232 in words is "twelve billion, three hundred one million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 67 68 104 113 134 136 221 226 268 442 452 536 871 884 904 919 1139 1469 1742 1768 1838 1921 2278 2938 3484 3676 3842 4556 5876 6968 7352 7571 7684 9112 11752 11947 14807 15142 15368 15623 23894 24973 29614 30284 31246 47788 49946 59228 60568 61573 62492 95576 98423 99892 103847 118456 123146 124984 128707 196846 199784 203099 207694 246292 257414 393692 406198 415388 492584 514828 787384 800449 812396 830776 1029656 1046741 1350011 1600898 1624792 1673191 1765399 2093482 2700022 3201796 3346382 3530798 4186964 5400044 6403592 6692764 6957749 7061596 8373928 10800088 13385528 13607633 13915498 14123192 22950187 27215266 27830996 45900374 54430532 55661992 90450737 91800748 108861064 118281733 180901474 183601496 236563466 361802948 473126932 723605896 946253864 1537662529 3075325058 6150650116 12301300232