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13300124101420 = 22513217474924841
BaseRepresentation
bin1100000110001010110100…
…1011000010101100101100
31202002110221111221120011111
43001202231023002230230
53220402123232221140
644141554225401404
72541621321356542
oct301425513025454
952073844846144
1013300124101420
11426860735a252
1215a97a0799264
13756272418a00
1433da2d82dd92
15180e77bab7ea
hexc18ad2c2b2c

13300124101420 has 144 divisors (see below), whose sum is σ = 32704417968768. Its totient is φ = 4523603435520.

The previous prime is 13300124101391. The next prime is 13300124101427. The reversal of 13300124101420 is 2410142100331.

It is a super-2 number, since 2×133001241014202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13300124101391 and 13300124101400.

It is not an unprimeable number, because it can be changed into a prime (13300124101427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238200 + ... + 5163040.

It is an arithmetic number, because the mean of its divisors is an integer number (227114013672).

Almost surely, 213300124101420 is an apocalyptic number.

13300124101420 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 13300124101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16352208984384).

13300124101420 is an abundant number, since it is smaller than the sum of its proper divisors (19404293867348).

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

13300124101420 is a wasteful number, since it uses less digits than its factorization.

13300124101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924940 (or 4924925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13300124101420 its reverse (2410142100331), we get a palindrome (15710266201751).

The spelling of 13300124101420 in words is "thirteen trillion, three hundred billion, one hundred twenty-four million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 47 52 65 68 85 94 130 169 170 188 221 235 260 338 340 442 470 611 676 799 845 884 940 1105 1222 1598 1690 2210 2444 2873 3055 3196 3380 3995 4420 5746 6110 7943 7990 10387 11492 12220 14365 15886 15980 20774 28730 31772 39715 41548 51935 57460 79430 103870 135031 158860 207740 270062 540124 675155 1350310 2700620 4924841 9849682 19699364 24624205 49248410 64022933 83722297 98496820 128045866 167444594 231467527 256091732 320114665 334889188 418611485 462935054 640229330 832298129 837222970 925870108 1088389861 1157337635 1280458660 1664596258 1674445940 2176779722 2314675270 3009077851 3329192516 3934947959 4161490645 4353559444 4629350540 5441949305 6018155702 7869895918 8322981290 10883898610 12036311404 14149068193 15045389255 15739791836 16645962580 19674739795 21767797220 28298136386 30090778510 39118012063 39349479590 51154323467 56596272772 60181557020 70745340965 78236024126 78698959180 102308646934 141490681930 156472048252 195590060315 204617293868 255771617335 282981363860 391180120630 511543234670 665006205071 782360241260 1023086469340 1330012410142 2660024820284 3325031025355 6650062050710 13300124101420