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10011100011088 = 241125171022733
BaseRepresentation
bin1001000110101110010000…
…0011110101101001010000
31022110001101202212020111011
42101223210003311221100
52303010213100323323
633143011424500304
72052164251026541
oct221534403655120
938401352766434
1010011100011088
11320a757a70700
12115827517a694
135780729cb717
1426877b3d44c8
1512562968a20d
hex91ae40f5a50

10011100011088 has 30 divisors (see below), whose sum is σ = 21320126732282. Its totient is φ = 4550500004160.

The previous prime is 10011100011083. The next prime is 10011100011089. The reversal of 10011100011088 is 88011000111001.

Adding to 10011100011088 its reverse (88011000111001), we get a palindrome (98022100122089).

It can be written as a sum of positive squares in only one way, i.e., 8484916500544 + 1526183510544 = 2912888^2 + 1235388^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011100011083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2585509431 + ... + 2585513302.

Almost surely, 210011100011088 is an apocalyptic number.

It is an amenable number.

10011100011088 is an abundant number, since it is smaller than the sum of its proper divisors (11309026721194).

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

10011100011088 is a wasteful number, since it uses less digits than its factorization.

10011100011088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171022763 (or 5171022746 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 22.

The spelling of 10011100011088 in words is "ten trillion, eleven billion, one hundred million, eleven thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 5171022733 10342045466 20684090932 41368181864 56881250063 82736363728 113762500126 227525000252 455050000504 625693750693 910100001008 1251387501386 2502775002772 5005550005544 10011100011088