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10201112103 = 3713191966669
BaseRepresentation
bin10011000000000100…
…01001111000100111
3222022221012012001210
421200002021320213
5131342441041403
64404125122503
7510536010420
oct114002117047
928287165053
1010201112103
114365297566
121b883b9433
13c67573a10
146cab54647
153ea886b03
hex260089e27

10201112103 has 32 divisors (see below), whose sum is σ = 17621363200. Its totient is φ = 5097603456.

The previous prime is 10201112081. The next prime is 10201112113. The reversal of 10201112103 is 30121110201.

It is not a de Polignac number, because 10201112103 - 25 = 10201112071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978148 + ... + 988521.

It is an arithmetic number, because the mean of its divisors is an integer number (550667600).

Almost surely, 210201112103 is an apocalyptic number.

10201112103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10201112103 is a deficient number, since it is larger than the sum of its proper divisors (7420251097).

10201112103 is a wasteful number, since it uses less digits than its factorization.

10201112103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966711.

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

Adding to 10201112103 its reverse (30121110201), we get a palindrome (40322222304).

The spelling of 10201112103 in words is "ten billion, two hundred one million, one hundred twelve thousand, one hundred three".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1729 5187 1966669 5900007 13766683 25566697 37366711 41300049 76700091 112100133 178966879 261566977 485767243 536900637 784700931 1457301729 3400370701 10201112103