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13201471712 = 25112131631609
BaseRepresentation
bin11000100101101111…
…00111100011100000
31021002000220020200202
430102313213203200
5204014034043322
610021545204332
7645100441502
oct142267474340
937060806622
1013201471712
115664983100
1226851906a8
131325052b30
148d3411d72
15523e9c292
hex312de78e0

13201471712 has 144 divisors (see below), whose sum is σ = 30973476240. Its totient is φ = 5501675520.

The previous prime is 13201471693. The next prime is 13201471729. The reversal of 13201471712 is 21717410231.

13201471712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 8203964 + ... + 8205572.

It is an arithmetic number, because the mean of its divisors is an integer number (215093585).

Almost surely, 213201471712 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 13201471712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486738120).

13201471712 is an abundant number, since it is smaller than the sum of its proper divisors (17772004528).

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

13201471712 is a wasteful number, since it uses less digits than its factorization.

13201471712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

Adding to 13201471712 its reverse (21717410231), we get a palindrome (34918881943).

The spelling of 13201471712 in words is "thirteen billion, two hundred one million, four hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 163 176 208 242 286 326 352 416 484 572 652 968 1144 1304 1573 1609 1793 1936 2119 2288 2608 3146 3218 3586 3872 4238 4576 5216 6292 6436 7172 8476 12584 12872 14344 16952 17699 19723 20917 23309 25168 25744 28688 33904 35398 39446 41834 46618 50336 51488 57376 67808 70796 78892 83668 93236 141592 157784 167336 186472 194689 230087 256399 262267 283184 315568 334672 372944 389378 460174 512798 524534 566368 631136 669344 745888 778756 920348 1025596 1049068 1557512 1840696 2051192 2098136 2530957 2884937 3115024 3409471 3681392 4102384 4196272 5061914 5769874 6230048 6818942 7362784 8204768 8392544 10123828 11539748 13637884 20247656 23079496 27275768 31734307 37504181 40495312 46158992 54551536 63468614 75008362 80990624 92317984 109103072 126937228 150016724 253874456 300033448 412545991 507748912 600066896 825091982 1015497824 1200133792 1650183964 3300367928 6600735856 13201471712