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13031212313112 = 2337299791273181
BaseRepresentation
bin1011110110100001000011…
…0001111110101000011000
31201010202211120222022121020
42331220100301332220120
53202000410323004422
643414242320442440
72513321406030660
oct275502061765030
951122746868536
1013031212313112
11417456269a594
121565652779420
13736ab8266346
143309dd4871a0
15178e8992e95c
hexbda10c7ea18

13031212313112 has 128 divisors (see below), whose sum is σ = 38519973273600. Its totient is φ = 3594436876800.

The previous prime is 13031212313081. The next prime is 13031212313137. The reversal of 13031212313112 is 21131321213031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47565162 + ... + 47838342.

It is an arithmetic number, because the mean of its divisors is an integer number (300937291200).

Almost surely, 213031212313112 is an apocalyptic number.

13031212313112 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 13031212313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259986636800).

13031212313112 is an abundant number, since it is smaller than the sum of its proper divisors (25488760960488).

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

13031212313112 is a wasteful number, since it uses less digits than its factorization.

13031212313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283017 (or 283013 counting only the distinct ones).

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

Adding to 13031212313112 its reverse (21131321213031), we get a palindrome (34162533526143).

The spelling of 13031212313112 in words is "thirteen trillion, thirty-one billion, two hundred twelve million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 9791 19582 29373 39164 58746 68537 78328 117492 137074 205611 234984 273181 274148 283939 411222 546362 548296 567878 819543 822444 851817 1092724 1135756 1639086 1644888 1703634 1912267 1987573 2185448 2271512 3278172 3407268 3824534 3975146 5736801 5962719 6556344 6814536 7649068 7922249 7950292 11473602 11925438 15298136 15844498 15900584 22947204 23766747 23850876 31688996 45894408 47533494 47701752 55455743 63377992 95066988 110911486 166367229 190133976 221822972 332734458 443645944 665468916 1330937832 2674715171 5349430342 8024145513 10698860684 16048291026 18723006197 21397721368 32096582052 37446012394 56169018591 64193164104 74892024788 77566739959 112338037182 149784049576 155133479918 224676074364 232700219877 310266959836 449352148728 465400439754 542967179713 620533919672 930800879508 1085934359426 1628901539139 1861601759016 2171868718852 3257803078278 4343737437704 6515606156556 13031212313112