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11100022100 = 2252761145861
BaseRepresentation
bin10100101011001110…
…01110010101010100
31001122120122112202122
422111213032111110
5140213101201400
65033235555112
7542032426316
oct122547162524
931576575678
1011100022100
114786744992
12219945ba98
13107b87821b
147742a97b6
1544e74a685
hex2959ce554

11100022100 has 36 divisors (see below), whose sum is σ = 24118865148. Its totient is φ = 4434144000.

The previous prime is 11100022097. The next prime is 11100022121. The reversal of 11100022100 is 122000111.

11100022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4589791504 + 6510230596 = 67748^2 + 80686^2 .

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 11 ways as a sum of consecutive naturals, for example, 3170 + ... + 149030.

Almost surely, 211100022100 is an apocalyptic number.

11100022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100022100 is an abundant number, since it is smaller than the sum of its proper divisors (13018843048).

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

11100022100 is a wasteful number, since it uses less digits than its factorization.

11100022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146636 (or 146629 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11100022100 its reverse (122000111), we get a palindrome (11222022211).

The spelling of 11100022100 in words is "eleven billion, one hundred million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 761 1522 3044 3805 7610 15220 19025 38050 76100 145861 291722 583444 729305 1458610 2917220 3646525 7293050 14586100 111000221 222000442 444000884 555001105 1110002210 2220004420 2775005525 5550011050 11100022100