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13108212 = 22321337757
BaseRepresentation
bin110010000000…
…001111110100
3220122222002100
4302000033310
511323430322
61144542100
7216263235
oct62001764
926588070
1013108212
117443437
124481930
13293c550
141a5308c
15123ddac
hexc803f4

13108212 has 72 divisors (see below), whose sum is σ = 36696296. Its totient is φ = 3919104.

The previous prime is 13108181. The next prime is 13108243. The reversal of 13108212 is 21280131.

It is an interprime number because it is at equal distance from previous prime (13108181) and next prime (13108243).

It can be written as a sum of positive squares in 4 ways, for example, as 2842596 + 10265616 = 1686^2 + 3204^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 16938 + ... + 17694.

Almost surely, 213108212 is an apocalyptic number.

13108212 is a gapful number since it is divisible by the number (12) 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 13108212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348148).

13108212 is an abundant number, since it is smaller than the sum of its proper divisors (23588084).

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

13108212 is a wasteful number, since it uses less digits than its factorization.

13108212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13108212 is about 3620.5264810522. The cubic root of 13108212 is about 235.7840838556.

Adding to 13108212 its reverse (21280131), we get a palindrome (34388343).

The spelling of 13108212 in words is "thirteen million, one hundred eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 757 962 1332 1443 1514 1924 2271 2886 3028 4329 4542 5772 6813 8658 9084 9841 13626 17316 19682 27252 28009 29523 39364 56018 59046 84027 88569 112036 118092 168054 177138 252081 336108 354276 364117 504162 728234 1008324 1092351 1456468 2184702 3277053 4369404 6554106 13108212