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134543101345431 = 31722331375882353
BaseRepresentation
bin11110100101110111000001…
…110000110011111010010111
3122122101012021001200220120120
4132211313001300303322113
5120113323232421023211
61154052125242403023
740224263322035412
oct3645670160637227
9578335231626516
10134543101345431
11399624551a6029
121310b430500473
135a0c48ac5a47c
142531cc6b56b79
151084b95080d06
hex7a5dc1c33e97

134543101345431 has 96 divisors (see below), whose sum is σ = 210811520299008. Its totient is φ = 76031987834880.

The previous prime is 134543101345427. The next prime is 134543101345451.

134543101345431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134543101345431 - 22 = 134543101345427 is a prime.

It is a super-2 number, since 2×1345431013454312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134543101345451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19931151 + ... + 25813503.

It is an arithmetic number, because the mean of its divisors is an integer number (2195953336448).

Almost surely, 2134543101345431 is an apocalyptic number.

134543101345431 is a deficient number, since it is larger than the sum of its proper divisors (76268418953577).

134543101345431 is a wasteful number, since it uses less digits than its factorization.

134543101345431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882481 (or 5882464 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 13454310 and 1345431, that added together give a palindrome (14799741).

The spelling of 134543101345431 in words is "one hundred thirty-four trillion, five hundred forty-three billion, one hundred one million, three hundred forty-five thousand, four hundred thirty-one".

Divisors: 1 3 17 23 31 37 51 69 93 111 289 391 527 629 713 851 867 1147 1173 1581 1887 2139 2553 3441 6647 8959 10693 12121 14467 19499 19941 26381 26877 32079 36363 43401 58497 79143 206057 245939 331483 448477 618171 737817 994449 1345431 5882353 7624109 17647059 22872327 100000001 135294119 182352943 217647061 300000003 405882357 547058829 652941183 1700000017 2300000023 3100000031 3700000037 4194117689 5005882403 5100000051 6747058891 6900000069 9300000093 11100000111 12582353067 15017647209 20241176673 39100000391 52700000527 62900000629 71300000713 85100000851 114700001147 117300001173 155182354493 158100001581 188700001887 213900002139 255300002553 344100003441 465547063479 1212100012121 1446700014467 1949900019499 2638100026381 3636300036363 4340100043401 5849700058497 7914300079143 44847700448477 134543101345431