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13531151130 = 23571312332111
BaseRepresentation
bin11001001101000010…
…01111101100011010
31021221000020200211120
430212201033230122
5210202433314010
610114403310110
7656212613130
oct144641175432
937830220746
1013531151130
115813a89132
12275767b336
131378442a03
1492510d750
15542dbee70
hex32684fb1a

13531151130 has 128 divisors (see below), whose sum is σ = 37575622656. Its totient is φ = 3054604800.

The previous prime is 13531151099. The next prime is 13531151147. The reversal of 13531151130 is 3115113531.

It is a happy number.

13531151130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13531151130.

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, 6408775 + ... + 6410885.

It is an arithmetic number, because the mean of its divisors is an integer number (293559552).

Almost surely, 213531151130 is an apocalyptic number.

13531151130 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 13531151130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787811328).

13531151130 is an abundant number, since it is smaller than the sum of its proper divisors (24044471526).

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

13531151130 is a wasteful number, since it uses less digits than its factorization.

13531151130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492.

The product of its (nonzero) digits is 675, while the sum is 24.

Adding to 13531151130 its reverse (3115113531), we get a palindrome (16646264661).

The spelling of 13531151130 in words is "thirteen billion, five hundred thirty-one million, one hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 233 262 393 466 655 699 786 917 1165 1310 1398 1631 1834 1965 2111 2330 2751 3262 3495 3930 4222 4585 4893 5502 6333 6990 8155 9170 9786 10555 12666 13755 14777 16310 21110 24465 27510 29554 30523 31665 44331 48930 61046 63330 73885 88662 91569 147770 152615 183138 213661 221655 276541 305230 427322 443310 457845 491863 553082 640983 829623 915690 983726 1068305 1281966 1382705 1475589 1659246 1935787 2136610 2459315 2765410 2951178 3204915 3443041 3871574 4148115 4918630 5807361 6409830 6886082 7377945 8296230 9678935 10329123 11614722 14755890 17215205 19357870 20658246 29036805 34430410 51645615 58073610 64434053 103291230 128868106 193302159 322170265 386604318 451038371 644340530 902076742 966510795 1353115113 1933021590 2255191855 2706230226 4510383710 6765575565 13531151130