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13000201230 = 2353137467809
BaseRepresentation
bin11000001101101111…
…10101010000001110
31020120000011122111110
430012313311100032
5203111022414410
65545555232450
7640104613212
oct140667652016
936500148443
1013000201230
115571302665
1226298a8726
1312c2442483
148b47bc942
15511491720
hex306df540e

13000201230 has 128 divisors (see below), whose sum is σ = 33189212160. Its totient is φ = 3253201920.

The previous prime is 13000201219. The next prime is 13000201241. The reversal of 13000201230 is 3210200031.

It is a happy number.

13000201230 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 (13000201219) and next prime (13000201241).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16069066 + ... + 16069874.

It is an arithmetic number, because the mean of its divisors is an integer number (259290720).

Almost surely, 213000201230 is an apocalyptic number.

13000201230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000201230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594606080).

13000201230 is an abundant number, since it is smaller than the sum of its proper divisors (20189010930).

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

13000201230 is a wasteful number, since it uses less digits than its factorization.

13000201230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000201230 its reverse (3210200031), we get a palindrome (16210401261).

The spelling of 13000201230 in words is "thirteen billion, two hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 467 555 809 930 934 1110 1147 1401 1618 2294 2335 2427 2802 3441 4045 4670 4854 5735 6882 7005 8090 11470 12135 14010 14477 17205 17279 24270 25079 28954 29933 34410 34558 43431 50158 51837 59866 72385 75237 86395 86862 89799 103674 125395 144770 149665 150474 172790 179598 217155 250790 259185 299330 376185 377803 434310 448995 518370 535649 752370 755606 897990 927923 1071298 1133409 1606947 1855846 1889015 2266818 2678245 2783769 3213894 3778030 4639615 5356490 5567538 5667045 8034735 9279230 11334090 11711893 13918845 13978711 16069470 23423786 27837690 27957422 35135679 41936133 58559465 69893555 70271358 83872266 117118930 139787110 175678395 209680665 351356790 419361330 433340041 866680082 1300020123 2166700205 2600040246 4333400410 6500100615 13000201230