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13142312531205 = 35111343913956611
BaseRepresentation
bin1011111100111110111011…
…0111101011010100000101
31201112101121100122011110120
42333033232313223110011
53210310424001444310
643541254532012153
72524333520223234
oct277175667532405
951471540564416
1013142312531205
114207694893850
121583099a61059
1374441268c270
1433613c824b1b
1517bcdd402b70
hexbf3eedeb505

13142312531205 has 64 divisors (see below), whose sum is σ = 24760146216960. Its totient is φ = 5868475372800.

The previous prime is 13142312531197. The next prime is 13142312531221. The reversal of 13142312531205 is 50213521324131.

It is a happy number.

It is not a de Polignac number, because 13142312531205 - 23 = 13142312531197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6036651 + ... + 7919960.

It is an arithmetic number, because the mean of its divisors is an integer number (386877284640).

Almost surely, 213142312531205 is an apocalyptic number.

13142312531205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13142312531205 is a deficient number, since it is larger than the sum of its proper divisors (11617833685755).

13142312531205 is a wasteful number, since it uses less digits than its factorization.

13142312531205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957082.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 13142312531205 its reverse (50213521324131), we get a palindrome (63355833855336).

The spelling of 13142312531205 in words is "thirteen trillion, one hundred forty-two billion, three hundred twelve million, five hundred thirty-one thousand, two hundred five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 439 715 1317 2145 2195 4829 5707 6585 14487 17121 24145 28535 62777 72435 85605 188331 313885 941655 13956611 41869833 69783055 153522721 181435943 209349165 460568163 544307829 767613605 907179715 1995795373 2302840815 2721539145 5987386119 6126952229 9978976865 18380856687 29936930595 30634761145 67396474519 79650378977 91904283435 202189423557 238951136931 336982372595 398251894885 876154168747 1010947117785 1194755684655 2628462506241 4380770843735 13142312531205