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13012031203220 = 22573071139326573
BaseRepresentation
bin1011110101011001100101…
…1111110110011110010100
31201001221022211022222101202
42331112121133312132110
53201142114442000340
643401351123012032
72512042156214540
oct275263137663624
951057284288352
1013012031203220
11416740a433855
12156199ab0a018
1373504c42678a
1432daddc46a20
15178715a1cc15
hexbd5997f6794

13012031203220 has 96 divisors (see below), whose sum is σ = 31334526736128. Its totient is φ = 4446178394112.

The previous prime is 13012031203141. The next prime is 13012031203261. The reversal of 13012031203220 is 2230213021031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13012031203192 and 13012031203201.

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, 489657854 + ... + 489684426.

It is an arithmetic number, because the mean of its divisors is an integer number (326401320168).

Almost surely, 213012031203220 is an apocalyptic number.

13012031203220 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 13012031203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667263368064).

13012031203220 is an abundant number, since it is smaller than the sum of its proper divisors (18322495532908).

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

13012031203220 is a wasteful number, since it uses less digits than its factorization.

13012031203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38289 (or 38287 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13012031203220 its reverse (2230213021031), we get a palindrome (15242244224251).

The spelling of 13012031203220 in words is "thirteen trillion, twelve billion, thirty-one million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 307 614 1228 1535 2149 3070 4298 6140 8596 10745 11393 21490 22786 26573 42980 45572 53146 56965 79751 106292 113930 132865 159502 186011 227860 265730 319004 372022 398755 531460 744044 797510 930055 1595020 1860110 3497651 3720220 6995302 8157911 13990604 16315822 17488255 24483557 32631644 34976510 40789555 48967114 57105377 69953020 81579110 97934228 114210754 122417785 163158220 228421508 244835570 285526885 302746189 489671140 571053770 605492378 1142107540 1210984756 1513730945 2119223323 3027461890 4238446646 6054923780 8476893292 10596116615 21192233230 42384466460 92943080023 185886160046 371772320092 464715400115 650601560161 929430800230 1301203120322 1858861600460 2602406240644 3253007800805 6506015601610 13012031203220