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13330100 = 22527137139
BaseRepresentation
bin110010110110…
…011010110100
3221002020110102
4302312122310
511403030400
61153413232
7221206160
oct62663264
927066412
1013330100
117585113
12456a218
1329b9544
141aadca0
1512849d5
hexcb66b4

13330100 has 72 divisors (see below), whose sum is σ = 33539520. Its totient is φ = 4504320.

The previous prime is 13330099. The next prime is 13330117. The reversal of 13330100 is 103331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95831 + ... + 95969.

Almost surely, 213330100 is an apocalyptic number.

13330100 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 13330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769760).

13330100 is an abundant number, since it is smaller than the sum of its proper divisors (20209420).

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

13330100 is a wasteful number, since it uses less digits than its factorization.

13330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13330100 is about 3651.0409474559. The cubic root of 13330100 is about 237.1070510469.

Adding to 13330100 its reverse (103331), we get a palindrome (13433431).

The spelling of 13330100 in words is "thirteen million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 139 140 175 274 278 350 548 556 685 695 700 959 973 1370 1390 1918 1946 2740 2780 3425 3475 3836 3892 4795 4865 6850 6950 9590 9730 13700 13900 19043 19180 19460 23975 24325 38086 47950 48650 76172 95215 95900 97300 133301 190430 266602 380860 476075 533204 666505 952150 1333010 1904300 2666020 3332525 6665050 13330100