Search a number
-
+
10201110010 = 2571311210011
BaseRepresentation
bin10011000000000100…
…01001010111111010
3222022221012002012021
421200002021113322
5131342441010020
64404125105054
7510536001340
oct114002112772
928287162167
1010201110010
114365295a33
121b883b818a
13c67572a90
146cab53990
153ea8861aa
hex2600895fa

10201110010 has 32 divisors (see below), whose sum is σ = 22599384192. Its totient is φ = 3228482880.

The previous prime is 10201109999. The next prime is 10201110019. The reversal of 10201110010 is 1001110201.

It is a super-2 number, since 2×102011100102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10201109975 and 10201110002.

It is not an unprimeable number, because it can be changed into a prime (10201110019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5604096 + ... + 5605915.

It is an arithmetic number, because the mean of its divisors is an integer number (706230756).

Almost surely, 210201110010 is an apocalyptic number.

10201110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201110010 is an abundant number, since it is smaller than the sum of its proper divisors (12398274182).

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

10201110010 is a wasteful number, since it uses less digits than its factorization.

10201110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11210038.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10201110010 its reverse (1001110201), we get a palindrome (11202220211).

The spelling of 10201110010 in words is "ten billion, two hundred one million, one hundred ten thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 11210011 22420022 56050055 78470077 112100110 145730143 156940154 291460286 392350385 728650715 784700770 1020111001 1457301430 2040222002 5100555005 10201110010