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11112122100 = 2235237040407
BaseRepresentation
bin10100101100101010…
…11000011011110100
31001200102102021211210
422112111120123310
5140224200401400
65034351201420
7542240323302
oct122625303364
931612367753
1011112122100
114792559892
1221a1516270
1310812238a1
14775b39272
1545083a950
hex2965586f4

11112122100 has 36 divisors (see below), whose sum is σ = 32151074144. Its totient is φ = 2963232480.

The previous prime is 11112122057. The next prime is 11112122101. The reversal of 11112122100 is 122121111.

11112122100 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 not an unprimeable number, because it can be changed into a prime (11112122101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18519904 + ... + 18520503.

Almost surely, 211112122100 is an apocalyptic number.

11112122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112122100 is an abundant number, since it is smaller than the sum of its proper divisors (21038952044).

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

11112122100 is a wasteful number, since it uses less digits than its factorization.

11112122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37040424 (or 37040417 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11112122100 its reverse (122121111), we get a palindrome (11234243211).

The spelling of 11112122100 in words is "eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 37040407 74080814 111121221 148161628 185202035 222242442 370404070 444484884 555606105 740808140 926010175 1111212210 1852020350 2222424420 2778030525 3704040700 5556061050 11112122100