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13531143234 = 2371729976737
BaseRepresentation
bin11001001101000010…
…01101110001000010
31021221000020022000010
430212201031301002
5210202433040414
610114403205350
7656212551120
oct144641156102
937830208003
1013531143234
115813a83204
122757676856
13137843c23b
1492510a910
15542dbc959
hex32684dc42

13531143234 has 128 divisors (see below), whose sum is σ = 34231196160. Its totient is φ = 3476422656.

The previous prime is 13531143233. The next prime is 13531143247. The reversal of 13531143234 is 43234113531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13531143233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2005114 + ... + 2011850.

It is an arithmetic number, because the mean of its divisors is an integer number (267431220).

Almost surely, 213531143234 is an apocalyptic number.

13531143234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531143234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115598080).

13531143234 is an abundant number, since it is smaller than the sum of its proper divisors (20700052926).

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

13531143234 is a wasteful number, since it uses less digits than its factorization.

13531143234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892.

The product of its digits is 12960, while the sum is 30.

Adding to 13531143234 its reverse (43234113531), we get a palindrome (56765256765).

The spelling of 13531143234 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 97 102 119 174 194 203 238 291 357 406 493 582 609 679 714 986 1218 1358 1479 1649 2037 2813 2958 3298 3451 4074 4947 5626 6737 6902 8439 9894 10353 11543 13474 16878 19691 20211 20706 23086 34629 39382 40422 47159 47821 59073 69258 94318 95642 114529 118146 141477 143463 195373 229058 282954 286926 334747 343587 390746 586119 653489 669494 687174 801703 1004241 1172238 1306978 1367611 1603406 1960467 2008482 2405109 2735222 3321341 3920934 4102833 4574423 4810218 6642682 8205666 9148846 9964023 11109313 13723269 18951181 19928046 22218626 23249387 27446538 33327939 37902362 46498774 56853543 66655878 69748161 77765191 113707086 132658267 139496322 155530382 233295573 265316534 322170077 397974801 466591146 644340154 795949602 966510231 1933020462 2255190539 4510381078 6765571617 13531143234