Search a number
-
+
13451210300 = 225211411012953
BaseRepresentation
bin11001000011100000…
…10010111000111100
31021201102211021122002
430201300102320330
5210022002212200
610102430041432
7654222254363
oct144160227074
937642737562
1013451210300
115782948430
122734949278
131364a03548
149186607da
1553ad7dbd5
hex321c12e3c

13451210300 has 144 divisors (see below), whose sum is σ = 32953453344. Its totient is φ = 4723200000.

The previous prime is 13451210293. The next prime is 13451210309. The reversal of 13451210300 is 301215431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13451210309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4553624 + ... + 4556576.

It is an arithmetic number, because the mean of its divisors is an integer number (228843426).

Almost surely, 213451210300 is an apocalyptic number.

13451210300 is a gapful number since it is divisible by the number (10) 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 13451210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476726672).

13451210300 is an abundant number, since it is smaller than the sum of its proper divisors (19502243044).

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

13451210300 is a wasteful number, since it uses less digits than its factorization.

13451210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13451210300 its reverse (301215431), we get a palindrome (13752425731).

The spelling of 13451210300 in words is "thirteen billion, four hundred fifty-one million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 101 110 164 202 205 220 275 404 410 451 505 550 820 902 1010 1025 1100 1111 1804 2020 2050 2222 2255 2525 2953 4100 4141 4444 4510 5050 5555 5906 8282 9020 10100 11110 11275 11812 14765 16564 20705 22220 22550 27775 29530 32483 41410 45100 45551 55550 59060 64966 73825 82820 91102 103525 111100 121073 129932 147650 162415 182204 207050 227755 242146 295300 298253 324830 414100 455510 484292 596506 605365 649660 812075 911020 1138775 1193012 1210730 1331803 1491265 1624150 2277550 2421460 2663606 2982530 3026825 3248300 3280783 4555100 5327212 5965060 6053650 6561566 6659015 7456325 12107300 12228373 13123132 13318030 14912650 16403915 24456746 26636060 29825300 32807830 33295075 48913492 61141865 65615660 66590150 82019575 122283730 133180300 134512103 164039150 244567460 269024206 305709325 328078300 538048412 611418650 672560515 1222837300 1345121030 2690242060 3362802575 6725605150 13451210300