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13531015110 = 23519432771993
BaseRepresentation
bin11001001101000001…
…01110011111000110
31021220222222210020210
430212200232133012
5210202414440420
610114400340250
7656211505434
oct144640563706
937828883223
1013531015110
1158139a5a18
122757614686
1313783c5b22
149250b5d54
15542d949e0
hex32682e7c6

13531015110 has 128 divisors (see below), whose sum is σ = 35122475520. Its totient is φ = 3325142016.

The previous prime is 13531015109. The next prime is 13531015111. The reversal of 13531015110 is 1151013531.

13531015110 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 (13531015109) and next prime (13531015111).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531015111) 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 63 ways as a sum of consecutive naturals, for example, 6788274 + ... + 6790266.

It is an arithmetic number, because the mean of its divisors is an integer number (274394340).

Almost surely, 213531015110 is an apocalyptic number.

13531015110 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 13531015110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561237760).

13531015110 is an abundant number, since it is smaller than the sum of its proper divisors (21591460410).

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

13531015110 is a wasteful number, since it uses less digits than its factorization.

13531015110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342.

The product of its (nonzero) digits is 225, while the sum is 21.

Adding to 13531015110 its reverse (1151013531), we get a palindrome (14682028641).

The spelling of 13531015110 in words is "thirteen billion, five hundred thirty-one million, fifteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 277 285 430 554 570 645 817 831 1290 1385 1634 1662 1993 2451 2770 3986 4085 4155 4902 5263 5979 8170 8310 9965 10526 11911 11958 12255 15789 19930 23822 24510 26315 29895 31578 35733 37867 52630 59555 59790 71466 75734 78945 85699 113601 119110 157890 171398 178665 189335 226309 227202 257097 357330 378670 428495 452618 514194 552061 568005 678927 856990 1104122 1131545 1136010 1285485 1357854 1628281 1656183 2263090 2570970 2760305 3256562 3312366 3394635 4884843 5520610 6789270 8141405 8280915 9769686 10489159 16282810 16561830 20978318 23738623 24424215 31467477 47477246 48848430 52445795 62934954 71215869 104891590 118693115 142431738 157337385 237386230 314674770 356079345 451033837 712158690 902067674 1353101511 2255169185 2706203022 4510338370 6765507555 13531015110