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131213104134114 = 23174334421671999
BaseRepresentation
bin11101110101011001101110…
…011101100011011111100010
3122012120211221211110101100210
4131311121232131203133202
5114144243414124242424
61143022245021354550
736431556016543242
oct3565315635433742
9565524854411323
10131213104134114
113889918a624222
1212871b8b108a56
13582a45b9a1cb2
142458a68bdbb22
151028249905729
hex77566e7637e2

131213104134114 has 64 divisors (see below), whose sum is σ = 278568170496000. Its totient is φ = 41060475555840.

The previous prime is 131213104134071. The next prime is 131213104134191. The reversal of 131213104134114 is 411431401312131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194921887 + ... + 195593885.

It is an arithmetic number, because the mean of its divisors is an integer number (4352627664000).

Almost surely, 2131213104134114 is an apocalyptic number.

131213104134114 is an abundant number, since it is smaller than the sum of its proper divisors (147355066361886).

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

131213104134114 is a wasteful number, since it uses less digits than its factorization.

131213104134114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676875.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 131213104134114 its reverse (411431401312131), we get a palindrome (542644505446245).

The spelling of 131213104134114 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred four million, one hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 433 866 1299 2598 4421 7361 8842 13263 14722 22083 26526 44166 75157 150314 225471 450942 671999 1343998 1914293 2015997 3828586 4031994 5742879 11423983 11485758 22847966 32542981 34271949 65085962 68543898 97628943 195257886 290975567 581951134 872926701 1745853402 2970907579 4946584639 5941815158 8912722737 9893169278 14839753917 17825445474 29679507834 50505428843 101010857686 151516286529 303032573058 1286402981707 2572805963414 3859208945121 7718417890242 21868850689019 43737701378038 65606552067057 131213104134114