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13311001020 = 22351773917659
BaseRepresentation
bin11000110010110010…
…11100000110111100
31021100122222220122210
430121121130012330
5204230104013040
610040500540420
7650600433102
oct143131340674
937318886583
1013311001020
115710793099
1226b59b1710
131341951b85
14903ba3c72
1552d8d5480
hex31965c1bc

13311001020 has 96 divisors (see below), whose sum is σ = 39518841600. Its totient is φ = 3336090624.

The previous prime is 13311001007. The next prime is 13311001021. The reversal of 13311001020 is 2010011331.

13311001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13311000987 and 13311001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744951 + ... + 762609.

It is an arithmetic number, because the mean of its divisors is an integer number (411654600).

Almost surely, 213311001020 is an apocalyptic number.

13311001020 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 13311001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759420800).

13311001020 is an abundant number, since it is smaller than the sum of its proper divisors (26207840580).

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

13311001020 is a wasteful number, since it uses less digits than its factorization.

13311001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18427 (or 18425 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13311001020 its reverse (2010011331), we get a palindrome (15321012351).

The spelling of 13311001020 in words is "thirteen billion, three hundred eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 739 1020 1478 2217 2956 3695 4434 7390 8868 11085 12563 14780 17659 22170 25126 35318 37689 44340 50252 52977 62815 70636 75378 88295 105954 125630 150756 176590 188445 211908 251260 264885 300203 353180 376890 529770 600406 753780 900609 1059540 1200812 1501015 1801218 3002030 3602436 4503045 6004060 9006090 13050001 18012180 26100002 39150003 52200004 65250005 78300006 130500010 156600012 195750015 221850017 261000020 391500030 443700034 665550051 783000060 887400068 1109250085 1331100102 2218500170 2662200204 3327750255 4437000340 6655500510 13311001020