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13111223112312 = 2331324637697121
BaseRepresentation
bin1011111011001011000111…
…0010111101001001111000
31201102102100200102001022120
42332302301302331021320
53204303241104043222
643515113541521240
72522153221431063
oct276626162751170
951372320361276
1013111223112312
1141a5490702226
121579062113220
137414c96ac700
1433482d8338da
1517b0bdd3315c
hexbecb1cbd278

13111223112312 has 96 divisors (see below), whose sum is σ = 35501105159280. Its totient is φ = 4033346703360.

The previous prime is 13111223112311. The next prime is 13111223112343. The reversal of 13111223112312 is 21321132211131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111223112311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18459112 + ... + 19156232.

Almost surely, 213111223112312 is an apocalyptic number.

13111223112312 is a gapful number since it is divisible by the number (12) 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 13111223112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750552579640).

13111223112312 is an abundant number, since it is smaller than the sum of its proper divisors (22389882046968).

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

13111223112312 is a wasteful number, since it uses less digits than its factorization.

13111223112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701793 (or 701776 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 13111223112312 its reverse (21321132211131), we get a palindrome (34432355323443).

The spelling of 13111223112312 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty-three million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 4637 9274 13911 18548 27822 37096 55644 60281 111288 120562 180843 241124 361686 482248 697121 723372 783653 1394242 1446744 1567306 2091363 2350959 2788484 3134612 4182726 4701918 5576968 6269224 8365452 9062573 9403836 16730904 18125146 18807672 27187719 36250292 54375438 72500584 108750876 117813449 217501752 235626898 353440347 471253796 706880694 942507592 1413761388 2827522776 3232550077 6465100154 9697650231 12930200308 19395300462 25860400616 38790600924 42023151001 77581201848 84046302002 126069453003 168092604004 252138906006 336185208008 504277812012 546300963013 1008555624024 1092601926026 1638902889039 2185203852052 3277805778078 4370407704104 6555611556156 13111223112312