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13310332020 = 2233553465071
BaseRepresentation
bin11000110010101101…
…11000110001110100
31021100121201220222000
430121112320301310
5204224421111040
610040434335300
7650561645466
oct143126706164
937317656860
1013310332020
1157103764a7
1226b572a530
13134177950b
14903a6c136
1552d802130
hex3195b8c74

13310332020 has 96 divisors (see below), whose sum is σ = 42191331840. Its totient is φ = 3482444160.

The previous prime is 13310331911. The next prime is 13310332033. The reversal of 13310332020 is 2023301331.

13310332020 is a `hidden beast` number, since 1 + 3 + 310 + 332 + 0 + 20 = 666.

13310332020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13310331984 and 13310332002.

It is a congruent number.

It is an unprimeable number.

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, 203916 + ... + 261155.

It is an arithmetic number, because the mean of its divisors is an integer number (439493040).

Almost surely, 213310332020 is an apocalyptic number.

13310332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310332020 is an abundant number, since it is smaller than the sum of its proper divisors (28880999820).

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

13310332020 is a wasteful number, since it uses less digits than its factorization.

13310332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465142 (or 465134 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13310332020 its reverse (2023301331), we get a palindrome (15333633351).

The spelling of 13310332020 in words is "thirteen billion, three hundred ten million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 14310 28620 465071 930142 1395213 1860284 2325355 2790426 4185639 4650710 5580852 6976065 8371278 9301420 12556917 13952130 16742556 20928195 24648763 25113834 27904260 41856390 49297526 50227668 62784585 73946289 83712780 98595052 123243815 125569170 147892578 221838867 246487630 251138340 295785156 369731445 443677734 492975260 665516601 739462890 887355468 1109194335 1331033202 1478925780 2218388670 2662066404 3327583005 4436777340 6655166010 13310332020