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10011100475 = 521931897639
BaseRepresentation
bin10010101001011010…
…10100010100111011
3221211200122121010002
421110231110110323
5131000320203400
64333220343215
7503040643565
oct112455242473
927750577102
1010011100475
114278006a62
121b34844b0b
13c370a5bbc
146ad812335
153d8d51ed5
hex254b5453b

10011100475 has 48 divisors (see below), whose sum is σ = 13641984000. Its totient is φ = 7259155200.

The previous prime is 10011100459. The next prime is 10011100483. The reversal of 10011100475 is 57400111001.

It is a happy number.

10011100475 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 10011100475 - 24 = 10011100459 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1306706 + ... + 1314344.

It is an arithmetic number, because the mean of its divisors is an integer number (284208000).

Almost surely, 210011100475 is an apocalyptic number.

10011100475 is a deficient number, since it is larger than the sum of its proper divisors (3630883525).

10011100475 is a wasteful number, since it uses less digits than its factorization.

10011100475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 10011100475 its reverse (57400111001), we get a palindrome (67411211476).

The spelling of 10011100475 in words is "ten billion, eleven million, one hundred thousand, four hundred seventy-five".

Divisors: 1 5 19 25 31 89 95 155 445 475 589 775 1691 2225 2759 2945 7639 8455 13795 14725 38195 42275 52421 68975 145141 190975 236809 262105 679871 725705 1184045 1310525 3399355 3628525 4499371 5920225 12917549 16996775 21076001 22496855 64587745 105380005 112484275 322938725 400444019 526900025 2002220095 10011100475