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13123301231000 = 2353109280342953
BaseRepresentation
bin1011111011111000000110…
…1101010100100110011000
31201110120112102112001100202
42332332001231110212120
53210003010103343000
643524432241521332
72523061431644102
oct276760155244630
951416472461322
1013123301231000
1141aa61946a5a4
12157b473043248
137426a2a961bc
14335257988572
1517b579384dd5
hexbef81b54998

13123301231000 has 128 divisors (see below), whose sum is σ = 31002032318400. Its totient is φ = 5199184972800.

The previous prime is 13123301230999. The next prime is 13123301231023. The reversal of 13123301231000 is 13210332131.

It is a super-2 number, since 2×131233012310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305505524 + ... + 305548476.

Almost surely, 213123301231000 is an apocalyptic number.

13123301231000 is a gapful number since it is divisible by the number (10) 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 13123301231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501016159200).

13123301231000 is an abundant number, since it is smaller than the sum of its proper divisors (17878731087400).

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

13123301231000 is a wasteful number, since it uses less digits than its factorization.

13123301231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45886 (or 45872 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13123301231000 its reverse (13210332131), we get a palindrome (13136511563131).

The spelling of 13123301231000 in words is "thirteen trillion, one hundred twenty-three billion, three hundred one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 2803 4360 5450 5606 10900 11212 13625 14015 21800 22424 27250 28030 42953 54500 56060 70075 85906 109000 112120 140150 171812 214765 280300 305527 343624 350375 429530 560600 611054 700750 859060 1073825 1222108 1401500 1527635 1718120 2147650 2444216 2803000 3055270 4295300 4681877 5369125 6110540 7638175 8590600 9363754 10738250 12221080 15276350 18727508 21476500 23409385 30552700 37455016 38190875 42953000 46818770 61105400 76381750 93637540 117046925 120397259 152763500 187275080 234093850 240794518 305527000 468187700 481589036 585234625 601986295 936375400 963178072 1170469250 1203972590 2340938500 2407945180 3009931475 4681877000 4815890360 6019862950 12039725900 13123301231 15049657375 24079451800 26246602462 30099314750 52493204924 60198629500 65616506155 104986409848 120397259000 131233012310 262466024620 328082530775 524932049240 656165061550 1312330123100 1640412653875 2624660246200 3280825307750 6561650615500 13123301231000