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11123102100 = 22352113370637
BaseRepresentation
bin10100101101111110…
…10001000110010100
31001201012002010120110
422112333101012110
5140240003231400
65035422403020
7542432544045
oct122677210624
931635063513
1011123102100
114798779270
1221a5130470
131083599526
147773968cc
154517a8e50
hex296fd1194

11123102100 has 72 divisors (see below), whose sum is σ = 35108565408. Its totient is φ = 2696508800.

The previous prime is 11123102051. The next prime is 11123102141. The reversal of 11123102100 is 120132111.

11123102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 1682019 + ... + 1688618.

It is an arithmetic number, because the mean of its divisors is an integer number (487618964).

Almost surely, 211123102100 is an apocalyptic number.

11123102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123102100 is an abundant number, since it is smaller than the sum of its proper divisors (23985463308).

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

11123102100 is a wasteful number, since it uses less digits than its factorization.

11123102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370665 (or 3370658 counting only the distinct ones).

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

Adding to 11123102100 its reverse (120132111), we get a palindrome (11243234211).

The spelling of 11123102100 in words is "eleven billion, one hundred twenty-three million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3370637 6741274 10111911 13482548 16853185 20223822 33706370 37077007 40447644 50559555 67412740 74154014 84265925 101119110 111231021 148308028 168531850 185385035 202238220 222462042 252797775 337063700 370770070 444924084 505595550 556155105 741540140 926925175 1011191100 1112310210 1853850350 2224620420 2780775525 3707700700 5561551050 11123102100