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131212012211320 = 23567464310544843
BaseRepresentation
bin11101110101011000101101…
…011000001100110001111000
3122012120202010201210221212211
4131311120231120030301320
5114144234200111230240
61143021544413544504
736431516660420665
oct3565305530146170
9565522121727784
10131212012211320
113889877a226497
12128719254a5134
13582a3166bb931
1424589a3ba2a6c
1510281d3b17bea
hex77562d60cc78

131212012211320 has 64 divisors (see below), whose sum is σ = 299697963880320. Its totient is φ = 51690309331584.

The previous prime is 131212012211213. The next prime is 131212012211323. The reversal of 131212012211320 is 23112210212131.

It is a happy number.

It is a super-2 number, since 2×1312120122113202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131212012211291 and 131212012211300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212012211323) 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, 7170819 + ... + 17715661.

It is an arithmetic number, because the mean of its divisors is an integer number (4682780685630).

Almost surely, 2131212012211320 is an apocalyptic number.

131212012211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212012211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149848981940160).

131212012211320 is an abundant number, since it is smaller than the sum of its proper divisors (168485951669000).

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

131212012211320 is a wasteful number, since it uses less digits than its factorization.

131212012211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10549564 (or 10549560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131212012211320 its reverse (23112210212131), we get a palindrome (154324222423451).

The spelling of 131212012211320 in words is "one hundred thirty-one trillion, two hundred twelve billion, twelve million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 4643 9286 18572 23215 37144 46430 92860 185720 311081 622162 1244324 1555405 2488648 3110810 6221620 10544843 12443240 21089686 42179372 52724215 84358744 105448430 210896860 421793720 706504481 1413008962 2826017924 3532522405 5652035848 7065044810 14130089620 28260179240 48959706049 97919412098 195838824196 244798530245 391677648392 489597060490 979194120980 1958388241960 3280300305283 6560600610566 13121201221132 16401501526415 26242402442264 32803003052830 65606006105660 131212012211320