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11131020100 = 2252111310201
BaseRepresentation
bin10100101110111010…
…11110001101000100
31001201201222102000201
422113131132031010
5140244020120400
65040304220244
7542560052434
oct122735361504
931651872021
1011131020100
1147a2197172
1221a790a684
13108510c535
147784582c4
1545232006a
hex29775e344

11131020100 has 18 divisors (see below), whose sum is σ = 24154313834. Its totient is φ = 4452408000.

The previous prime is 11131020083. The next prime is 11131020107. The reversal of 11131020100 is 102013111.

It can be written as a sum of positive squares in 3 ways, for example, as 559890244 + 10571129856 = 23662^2 + 102816^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11131020107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55655001 + ... + 55655200.

Almost surely, 211131020100 is an apocalyptic number.

11131020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131020100 is an abundant number, since it is smaller than the sum of its proper divisors (13023293734).

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

11131020100 is a wasteful number, since it uses less digits than its factorization.

11131020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111310215 (or 111310208 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11131020100 its reverse (102013111), we get a palindrome (11233033211).

The spelling of 11131020100 in words is "eleven billion, one hundred thirty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 111310201 222620402 445240804 556551005 1113102010 2226204020 2782755025 5565510050 11131020100