Search a number
-
+
13142113224132 = 22310753927189799
BaseRepresentation
bin1011111100111110001011…
…1111011000010111000100
31201112101002110121022120010
42333033202333120113010
53210310021441133012
643541223052110220
72524325550153114
oct277174277302704
951471073538503
1013142113224132
1142075a2334462
121583043165370
137443b02b8499
14336120183044
1517bccab83c3c
hexbf3e2fd85c4

13142113224132 has 48 divisors (see below), whose sum is σ = 30952256025600. Its totient is φ = 4339659905952.

The previous prime is 13142113224131. The next prime is 13142113224143. The reversal of 13142113224132 is 23142231124131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13142113224132.

It is not an unprimeable number, because it can be changed into a prime (13142113224131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69147369 + ... + 69337167.

It is an arithmetic number, because the mean of its divisors is an integer number (644838667200).

Almost surely, 213142113224132 is an apocalyptic number.

13142113224132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13142113224132 is an abundant number, since it is smaller than the sum of its proper divisors (17810142801468).

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

13142113224132 is a wasteful number, since it uses less digits than its factorization.

13142113224132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243840 (or 243838 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 13142113224132 its reverse (23142231124131), we get a palindrome (36284344348263).

The spelling of 13142113224132 in words is "thirteen trillion, one hundred forty-two billion, one hundred thirteen million, two hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 107 214 321 428 642 1284 53927 107854 161781 189799 215708 323562 379598 569397 647124 759196 1138794 2277588 5770189 11540378 17310567 20308493 23080756 34621134 40616986 60925479 69242268 81233972 121850958 243701916 10235290673 20470581346 30705872019 40941162692 61411744038 122823488076 1095176102011 2190352204022 3285528306033 4380704408044 6571056612066 13142113224132