Search a number
-
+
10200201011 = 7111324318229
BaseRepresentation
bin10010111111111101…
…01011011100110011
3222022212110220021122
421133332223130303
5131342222413021
64404053412455
7510525164240
oct113776533463
928285426248
1010200201011
114364824aa0
121b8803a12b
13c67315100
146ca9985c7
153ea756bab
hex25ffab733

10200201011 has 48 divisors (see below), whose sum is σ = 14091644160. Its totient is φ = 7165791360.

The previous prime is 10200200993. The next prime is 10200201029. The reversal of 10200201011 is 11010200201.

It is an interprime number because it is at equal distance from previous prime (10200200993) and next prime (10200201029).

It is not a de Polignac number, because 10200201011 - 226 = 10133092147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10200201011.

It is not an unprimeable number, because it can be changed into a prime (10200201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550445 + ... + 568673.

It is an arithmetic number, because the mean of its divisors is an integer number (293575920).

Almost surely, 210200201011 is an apocalyptic number.

10200201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10200201011 is a deficient number, since it is larger than the sum of its proper divisors (3891443149).

10200201011 is a wasteful number, since it uses less digits than its factorization.

10200201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18316 (or 18303 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10200201011 its reverse (11010200201), we get a palindrome (21210401212).

The spelling of 10200201011 in words is "ten billion, two hundred million, two hundred one thousand, eleven".

Divisors: 1 7 11 13 43 77 91 143 169 301 473 559 1001 1183 1859 3311 3913 6149 7267 13013 18229 43043 50869 79937 127603 200519 236977 559559 783847 1403633 1658839 2606747 3080701 5486929 8622317 10190011 18247229 21564907 33887711 60356219 71330077 112090121 132470143 237213977 784630847 927291001 1457171573 10200201011