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13100331231342 = 23223367751114809
BaseRepresentation
bin1011111010100010100010…
…0101101110100001101110
31201101101020121102011111200
42332220220211232201232
53204113434243400332
643510113055030330
72521316264114055
oct276505045564156
951341217364450
1013100331231342
1141a0901500903
121576b2250b3a6
13740481cac224
143340b906939c
1517ab829ee17c
hexbea2896e86e

13100331231342 has 96 divisors (see below), whose sum is σ = 29738648309760. Its totient is φ = 4159953072000.

The previous prime is 13100331231277. The next prime is 13100331231353. The reversal of 13100331231342 is 24313213300131.

13100331231342 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 3 + 312 + 3 + 1 + 342 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114048034 + ... + 114162842.

It is an arithmetic number, because the mean of its divisors is an integer number (309777586560).

Almost surely, 213100331231342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100331231342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869324154880).

13100331231342 is an abundant number, since it is smaller than the sum of its proper divisors (16638317078418).

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

13100331231342 is a wasteful number, since it uses less digits than its factorization.

13100331231342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115958 (or 115955 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13100331231342 its reverse (24313213300131), we get a palindrome (37413544531473).

The spelling of 13100331231342 in words is "thirteen trillion, one hundred billion, three hundred thirty-one million, two hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 367 414 734 751 1101 1502 2202 2253 3303 4506 6606 6759 8441 13518 16882 17273 25323 34546 50646 51819 75969 103638 114809 151938 155457 229618 275617 310914 344427 551234 688854 826851 1033281 1653702 2066562 2480553 2640607 4961106 5281214 6339191 7921821 12678382 15843642 19017573 23765463 38035146 42134903 47530926 57052719 84269806 86221559 114105438 126404709 172443118 252809418 258664677 379214127 517329354 758428254 775994031 969102769 1551988062 1938205538 1983095857 2907308307 3966191714 5814616614 5949287571 8721924921 11898575142 17443849842 17847862713 31643312153 35695725426 63286624306 94929936459 189859872918 284789809377 569579618754 727796179519 1455592359038 2183388538557 4366777077114 6550165615671 13100331231342