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13101216 = 253136471
BaseRepresentation
bin110001111110…
…100010100000
3220122121111020
4301332202200
511323214331
61144445440
7216233652
oct61764240
926577436
1013101216
117439157
124479880
1329392cb
141a506d2
15123bc96
hexc7e8a0

13101216 has 24 divisors (see below), whose sum is σ = 34390944. Its totient is φ = 4367040.

The previous prime is 13101211. The next prime is 13101223. The reversal of 13101216 is 61210131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 13101195 and 13101204.

It is not an unprimeable number, because it can be changed into a prime (13101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68140 + ... + 68331.

It is an arithmetic number, because the mean of its divisors is an integer number (1432956).

Almost surely, 213101216 is an apocalyptic number.

13101216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13101216 is an abundant number, since it is smaller than the sum of its proper divisors (21289728).

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

13101216 is a wasteful number, since it uses less digits than its factorization.

13101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136484 (or 136476 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 13101216 is about 3619.5601942778. The cubic root of 13101216 is about 235.7421295194.

Adding to 13101216 its reverse (61210131), we get a palindrome (74311347).

The spelling of 13101216 in words is "thirteen million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 136471 272942 409413 545884 818826 1091768 1637652 2183536 3275304 4367072 6550608 13101216