Search a number
-
+
10000201110 = 2351531217727
BaseRepresentation
bin10010101000000111…
…01111010110010110
3221210221010211222220
421110003233112112
5130440022413420
64332151003210
7502546210164
oct112403572626
927727124886
1010000201110
114271942119
121b31069506
13c34a5ab83
146ac1b6234
153d7dec840
hex2540ef596

10000201110 has 32 divisors (see below), whose sum is σ = 24016269312. Its totient is φ = 2664966240.

The previous prime is 10000201039. The next prime is 10000201117. The reversal of 10000201110 is 1110200001.

10000201110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000201117) 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, 62934 + ... + 154793.

It is an arithmetic number, because the mean of its divisors is an integer number (750508416).

Almost surely, 210000201110 is an apocalyptic number.

10000201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000201110 is an abundant number, since it is smaller than the sum of its proper divisors (14016068202).

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

10000201110 is a wasteful number, since it uses less digits than its factorization.

10000201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219268.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000201110 its reverse (1110200001), we get a palindrome (11110401111).

The spelling of 10000201110 in words is "ten billion, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1531 3062 4593 7655 9186 15310 22965 45930 217727 435454 653181 1088635 1306362 2177270 3265905 6531810 333340037 666680074 1000020111 1666700185 2000040222 3333400370 5000100555 10000201110