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111102213100 = 225217193439697
BaseRepresentation
bin110011101111000110…
…1010011101111101100
3101121202220102012111111
41213132031103233230
53310014131304400
6123012322001404
711012134141504
oct1473615235754
9347686365444
10111102213100
114313333712a
1219647aa6264
13a627973cc8
14553d73aa04
152d53c693ba
hex19de353bec

111102213100 has 72 divisors (see below), whose sum is σ = 268709207760. Its totient is φ = 39625297920.

The previous prime is 111102213091. The next prime is 111102213109. The reversal of 111102213100 is 1312201111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111102213091) and next prime (111102213109).

It is a super-2 number, since 2×1111022131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111102213109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687549 + ... + 1752148.

It is an arithmetic number, because the mean of its divisors is an integer number (3732072330).

Almost surely, 2111102213100 is an apocalyptic number.

111102213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111102213100 is an abundant number, since it is smaller than the sum of its proper divisors (157606994660).

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

111102213100 is a wasteful number, since it uses less digits than its factorization.

111102213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439747 (or 3439740 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 111102213100 its reverse (1312201111), we get a palindrome (112414414211).

The spelling of 111102213100 in words is "one hundred eleven billion, one hundred two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 3439697 6879394 13758788 17198485 34396970 58474849 65354243 68793940 85992425 116949698 130708486 171984850 233899396 261416972 292374245 326771215 343969700 584748490 653542430 1111022131 1169496980 1307084860 1461871225 1633856075 2222044262 2923742450 3267712150 4444088524 5555110655 5847484900 6535424300 11110221310 22220442620 27775553275 55551106550 111102213100