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13110212100 = 22352197221831
BaseRepresentation
bin11000011010110110…
…11111011000000100
31020211200011210001010
430031123133120010
5203322203241400
610004525202220
7642611651466
oct141533373004
936750153033
1013110212100
115618411437
12265a700370
13130c17c76b
148c5258136
1551ae72450
hex30d6df604

13110212100 has 72 divisors (see below), whose sum is σ = 38124934848. Its totient is φ = 3478294400.

The previous prime is 13110212051. The next prime is 13110212117. The reversal of 13110212100 is 121201131.

13110212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131102121002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51816 + ... + 170015.

It is an arithmetic number, because the mean of its divisors is an integer number (529512984).

Almost surely, 213110212100 is an apocalyptic number.

13110212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110212100 is an abundant number, since it is smaller than the sum of its proper divisors (25014722748).

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

13110212100 is a wasteful number, since it uses less digits than its factorization.

13110212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222045 (or 222038 counting only the distinct ones).

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

Adding to 13110212100 its reverse (121201131), we get a palindrome (13231413231).

The spelling of 13110212100 in words is "thirteen billion, one hundred ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 59100 221831 443662 665493 887324 1109155 1330986 2218310 2661972 3327465 4436620 5545775 6654930 11091550 13309860 16637325 22183100 33274650 43700707 66549300 87401414 131102121 174802828 218503535 262204242 437007070 524408484 655510605 874014140 1092517675 1311021210 2185035350 2622042420 3277553025 4370070700 6555106050 13110212100