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10011200222001 = 3113723713458111
BaseRepresentation
bin1001000110101110101000…
…0010000111001100110001
31022110001122202102111000110
42101223222002013030301
52303010414224101001
633143025404411533
72052166605560616
oct221535202071461
938401582374013
1010011200222001
11320a7a9596640
1211582a2846ba9
1357808a6b7214
1426878a83c50d
151256333823d6
hex91aea087331

10011200222001 has 32 divisors (see below), whose sum is σ = 14961618395136. Its totient is φ = 5900918904000.

The previous prime is 10011200221993. The next prime is 10011200222027. The reversal of 10011200222001 is 10022200211001.

It is not a de Polignac number, because 10011200222001 - 23 = 10011200221993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10011200220001) 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 31 ways as a sum of consecutive naturals, for example, 1165936 + ... + 4624046.

It is an arithmetic number, because the mean of its divisors is an integer number (467550574848).

Almost surely, 210011200222001 is an apocalyptic number.

10011200222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011200222001 is a deficient number, since it is larger than the sum of its proper divisors (4950418173135).

10011200222001 is a wasteful number, since it uses less digits than its factorization.

10011200222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460533.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10011200222001 its reverse (10022200211001), we get a palindrome (20033400433002).

It can be divided in two parts, 10011200 and 222001, that added together give a palindrome (10233201).

The spelling of 10011200222001 in words is "ten trillion, eleven billion, two hundred million, two hundred twenty-two thousand, one".

Divisors: 1 3 11 33 37 111 407 1221 2371 7113 26081 78243 87727 263181 964997 2894991 3458111 10374333 38039221 114117663 127950107 383850321 1407451177 4222353531 8199181181 24597543543 90190992991 270572978973 303369703697 910109111091 3337066740667 10011200222001