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13504111020 = 2234566112611
BaseRepresentation
bin11001001001110100…
…00110000110101100
31021212010100220210000
430210322012012230
5210124023023040
610111555544300
7655434023031
oct144472060654
937763326700
1013504111020
1157aa79a534
12274a5bb090
13137296604a
149216b1388
1554082d130
hex324e861ac

13504111020 has 120 divisors (see below), whose sum is σ = 42430349808. Its totient is φ = 3595363200.

The previous prime is 13504110959. The next prime is 13504111031. The reversal of 13504111020 is 2011140531.

It is a super-2 number, since 2×135041110202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13504110984 and 13504111002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1064515 + ... + 1077125.

Almost surely, 213504111020 is an apocalyptic number.

13504111020 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 13504111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215174904).

13504111020 is an abundant number, since it is smaller than the sum of its proper divisors (28926238788).

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

13504111020 is a wasteful number, since it uses less digits than its factorization.

13504111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13293 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 13504111020 its reverse (2011140531), we get a palindrome (15515251551).

The spelling of 13504111020 in words is "thirteen billion, five hundred four million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 661 810 1322 1620 1983 2644 3305 3966 5949 6610 7932 9915 11898 12611 13220 17847 19830 23796 25222 29745 35694 37833 39660 50444 53541 59490 63055 71388 75666 89235 107082 113499 118980 126110 151332 178470 189165 214164 226998 252220 267705 340497 356940 378330 453996 535410 567495 680994 756660 1021491 1070820 1134990 1361988 1702485 2042982 2269980 3404970 4085964 5107455 6809940 8335871 10214910 16671742 20429820 25007613 33343484 41679355 50015226 75022839 83358710 100030452 125038065 150045678 166717420 225068517 250076130 300091356 375114195 450137034 500152260 675205551 750228390 900274068 1125342585 1350411102 1500456780 2250685170 2700822204 3376027755 4501370340 6752055510 13504111020