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13102020 = 22335191277
BaseRepresentation
bin110001111110…
…101111000100
3220122122121000
4301332233010
511323231040
61144453300
7216236211
oct61765704
926578530
1013102020
117439818
12447a230
132939799
141a50b08
15123c130
hexc7ebc4

13102020 has 96 divisors (see below), whose sum is σ = 42940800. Its totient is φ = 3307392.

The previous prime is 13102013. The next prime is 13102021. The reversal of 13102020 is 2020131.

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 = 13101993 and 13102011.

It is not an unprimeable number, because it can be changed into a prime (13102021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9622 + ... + 10898.

It is an arithmetic number, because the mean of its divisors is an integer number (447300).

Almost surely, 213102020 is an apocalyptic number.

13102020 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 13102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21470400).

13102020 is an abundant number, since it is smaller than the sum of its proper divisors (29838780).

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

13102020 is a wasteful number, since it uses less digits than its factorization.

13102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1306 counting only the distinct ones).

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

The square root of 13102020 is about 3619.6712557911. The cubic root of 13102020 is about 235.7469517892.

Adding to 13102020 its reverse (2020131), we get a palindrome (15122151).

The spelling of 13102020 in words is "thirteen million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1277 1710 2052 2554 2565 3420 3831 5108 5130 6385 7662 10260 11493 12770 15324 19155 22986 24263 25540 34479 38310 45972 48526 57465 68958 72789 76620 97052 114930 121315 137916 145578 172395 218367 229860 242630 291156 344790 363945 436734 485260 655101 689580 727890 873468 1091835 1310202 1455780 2183670 2620404 3275505 4367340 6551010 13102020