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11006520100 = 2252110065201
BaseRepresentation
bin10100100000000101…
…00010101100100100
31001102001201011010121
422100002202230210
5140020132120400
65020055531324
7536515606612
oct122002425444
931361634117
1011006520100
114738991504
122172089b44
13106539b2b4
14765aca6b2
1544642b21a
hex2900a2b24

11006520100 has 18 divisors (see below), whose sum is σ = 23884148834. Its totient is φ = 4402608000.

The previous prime is 11006520061. The next prime is 11006520101. The reversal of 11006520100 is 102560011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3044170276 + 7962349824 = 55174^2 + 89232^2 .

It is a super-2 number, since 2×110065201002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006520101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55032501 + ... + 55032700.

Almost surely, 211006520100 is an apocalyptic number.

11006520100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006520100 is an abundant number, since it is smaller than the sum of its proper divisors (12877628734).

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

11006520100 is a wasteful number, since it uses less digits than its factorization.

11006520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110065215 (or 110065208 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The spelling of 11006520100 in words is "eleven billion, six million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 110065201 220130402 440260804 550326005 1100652010 2201304020 2751630025 5503260050 11006520100