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11110400441 = 73753809383
BaseRepresentation
bin10100101100011101…
…10100000110111001
31001200022011211011122
422112032310012321
5140223230303231
65034250235025
7542216563010
oct122616640671
931608154148
1011110400441
114791593328
1221a0a25a75
131080a7005a
1477580ba77
154505ea77b
hex2963b41b9

11110400441 has 16 divisors (see below), whose sum is σ = 13286847744. Its totient is φ = 9090978624.

The previous prime is 11110400429. The next prime is 11110400449. The reversal of 11110400441 is 14400401111.

11110400441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11110400441 - 218 = 11110138297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11110400449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 390965 + ... + 418418.

It is an arithmetic number, because the mean of its divisors is an integer number (830427984).

Almost surely, 211110400441 is an apocalyptic number.

It is an amenable number.

11110400441 is a deficient number, since it is larger than the sum of its proper divisors (2176447303).

11110400441 is an equidigital number, since it uses as much as digits as its factorization.

11110400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809480.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11110400441 its reverse (14400401111), we get a palindrome (25510801552).

The spelling of 11110400441 in words is "eleven billion, one hundred ten million, four hundred thousand, four hundred forty-one".

Divisors: 1 7 37 53 259 371 1961 13727 809383 5665681 29947171 42897299 209630197 300281093 1587200063 11110400441