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13002210 = 23251311113
BaseRepresentation
bin110001100110…
…010111100010
3220110120200100
4301212113202
511312032320
61142403230
7215342214
oct61462742
926416610
1013002210
117380831
124430516
132903220
141a265b4
15121c790
hexc665e2

13002210 has 48 divisors (see below), whose sum is σ = 36409464. Its totient is φ = 3200256.

The previous prime is 13002203. The next prime is 13002233. The reversal of 13002210 is 1220031.

It is a happy number.

13002210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3583449 + 9418761 = 1893^2 + 3069^2 .

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 = 13002192 and 13002201.

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, 4387 + ... + 6726.

Almost surely, 213002210 is an apocalyptic number.

13002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13002210 is an abundant number, since it is smaller than the sum of its proper divisors (23407254).

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

13002210 is a wasteful number, since it uses less digits than its factorization.

13002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11136 counting only the distinct ones).

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

The square root of 13002210 is about 3605.8577342985. The cubic root of 13002210 is about 235.1467922470.

Adding to 13002210 its reverse (1220031), we get a palindrome (14222241).

The spelling of 13002210 in words is "thirteen million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 11113 22226 33339 55565 66678 100017 111130 144469 166695 200034 288938 333390 433407 500085 722345 866814 1000170 1300221 1444690 2167035 2600442 4334070 6501105 13002210