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13201020 = 22325710477
BaseRepresentation
bin110010010110…
…111001111100
3220211200101200
4302112321330
511334413040
61150535500
7220130640
oct62267174
926750350
1013201020
1174a7138
124507590
132972871
141a78c20
15125b630
hexc96e7c

13201020 has 72 divisors (see below), whose sum is σ = 45767904. Its totient is φ = 3017088.

The previous prime is 13200997. The next prime is 13201033. The reversal of 13201020 is 2010231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13200993 and 13201011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3979 + ... + 6498.

Almost surely, 213201020 is an apocalyptic number.

13201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201020 is an abundant number, since it is smaller than the sum of its proper divisors (32566884).

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

13201020 is a wasteful number, since it uses less digits than its factorization.

13201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10499 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13201020 is about 3633.3207950854. The cubic root of 13201020 is about 236.3392373057.

Adding to 13201020 its reverse (2010231), we get a palindrome (15211251).

The spelling of 13201020 in words is "thirteen million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 10477 20954 31431 41908 52385 62862 73339 94293 104770 125724 146678 157155 188586 209540 220017 293356 314310 366695 377172 440034 471465 628620 660051 733390 880068 942930 1100085 1320102 1466780 1885860 2200170 2640204 3300255 4400340 6600510 13201020