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131211244131024 = 24310947035332469
BaseRepresentation
bin11101110101010111111111…
…100110001101001011010000
3122012120200011012112102210110
4131311113333212031023100
5114144231111444143044
61143021340255201320
736431461643016561
oct3565277746151320
9565520135472713
10131211244131024
1138898415707392
1212871750216240
13582a223533755
14245892db86168
15102818b4986b9
hex7755ff98d2d0

131211244131024 has 80 divisors (see below), whose sum is σ = 342144926323200. Its totient is φ = 43326601118208.

The previous prime is 131211244131013. The next prime is 131211244131041. The reversal of 131211244131024 is 420131442112131.

It is a super-2 number, since 2×1312112441310242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131211244130982 and 131211244131000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21939862 + ... + 27272330.

It is an arithmetic number, because the mean of its divisors is an integer number (4276811579040).

Almost surely, 2131211244131024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131211244131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072463161600).

131211244131024 is an abundant number, since it is smaller than the sum of its proper divisors (210933682192176).

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

131211244131024 is a wasteful number, since it uses less digits than its factorization.

131211244131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337292 (or 5337286 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131211244131024 its reverse (420131442112131), we get a palindrome (551342686243155).

The spelling of 131211244131024 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred forty-four million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 4703 5232 9406 14109 18812 28218 37624 56436 75248 112872 225744 512627 1025254 1537881 2050508 3075762 4101016 5332469 6151524 8202032 10664938 12303048 15997407 21329876 24606096 31994814 42659752 63989628 85319504 127979256 255958512 581239121 1162478242 1743717363 2324956484 3487434726 4649912968 6974869452 9299825936 13949738904 25078601707 27899477808 50157203414 75235805121 100314406828 150471610242 200628813656 300943220484 401257627312 601886440968 1203772881936 2733567586063 5467135172126 8200702758189 10934270344252 16401405516378 21868540688504 32802811032756 43737081377008 65605622065512 131211244131024