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11122013010132 = 2232496696220073
BaseRepresentation
bin1010000111011000101110…
…1000100111100011010100
31110101020212012122210120200
42201312023220213203110
52424210340312311012
635353214321500500
72225352564515043
oct241661350474324
943336765583520
1011122013010132
1135a8901437372
1212b762b7a1730
13628a5568c47b
142a6445da255a
151444982423dc
hexa1d8ba278d4

11122013010132 has 36 divisors (see below), whose sum is σ = 28114547877780. Its totient is φ = 3707262433152.

The previous prime is 11122013010109. The next prime is 11122013010139. The reversal of 11122013010132 is 23101031022111.

11122013010132 is a `hidden beast` number, since 1 + 11 + 220 + 1 + 301 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6096731352336 + 5025281657796 = 2469156^2 + 2241714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122013010139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1321953 + ... + 4898120.

Almost surely, 211122013010132 is an apocalyptic number.

11122013010132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11122013010132 is an abundant number, since it is smaller than the sum of its proper divisors (16992534867648).

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

11122013010132 is a wasteful number, since it uses less digits than its factorization.

11122013010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269752 (or 6269747 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11122013010132 its reverse (23101031022111), we get a palindrome (34223044032243).

The spelling of 11122013010132 in words is "eleven trillion, one hundred twenty-two billion, thirteen million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 49669 99338 149007 198676 298014 447021 596028 894042 1788084 6220073 12440146 18660219 24880292 37320438 55980657 74640876 111961314 223922628 308944805837 617889611674 926834417511 1235779223348 1853668835022 2780503252533 3707337670044 5561006505066 11122013010132