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13132313201112 = 2337438627210719
BaseRepresentation
bin1011111100011001101011…
…0111010000100111011000
31201111102210111010120021120
42333012122313100213120
53210124434134413422
643532522411405240
72523530651301330
oct277063267204730
951442714116246
1013132313201112
114203423497086
121581169153820
137434aab779b1
143358707d80c0
1517b90562845c
hexbf19add09d8

13132313201112 has 128 divisors (see below), whose sum is σ = 38398106419200. Its totient is φ = 3664389391488.

The previous prime is 13132313201101. The next prime is 13132313201113. The reversal of 13132313201112 is 21110231323131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132313201113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62216089 + ... + 62426807.

It is an arithmetic number, because the mean of its divisors is an integer number (299985206400).

Almost surely, 213132313201112 is an apocalyptic number.

13132313201112 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 13132313201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19199053209600).

13132313201112 is an abundant number, since it is smaller than the sum of its proper divisors (25265793218088).

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

13132313201112 is a wasteful number, since it uses less digits than its factorization.

13132313201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219405 (or 219401 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13132313201112 its reverse (21110231323131), we get a palindrome (34242544524243).

The spelling of 13132313201112 in words is "thirteen trillion, one hundred thirty-two billion, three hundred thirteen million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 8627 17254 25881 34508 51762 60389 69016 103524 120778 181167 207048 210719 241556 362334 370961 421438 483112 632157 724668 741922 842876 1112883 1264314 1449336 1475033 1483844 1685752 2225766 2528628 2596727 2950066 2967688 4425099 4451532 5057256 5193454 5900132 7790181 8850198 8903064 9060917 10386908 11800264 15580362 17700396 18121834 20773816 27182751 31160724 35400792 36243668 54365502 62321448 63426419 72487336 108731004 126852838 190279257 217462008 253705676 380558514 507411352 761117028 1522234056 1817872813 3635745626 5453618439 7271491252 10907236878 12725109691 14542982504 21814473756 25450219382 38175329073 43628947512 50900438764 76350658146 78168530959 101800877528 152701316292 156337061918 234505592877 305402632584 312674123836 469011185754 547179716713 625348247672 938022371508 1094359433426 1641539150139 1876044743016 2188718866852 3283078300278 4377437733704 6566156600556 13132313201112