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10201202011 = 7111319599091
BaseRepresentation
bin10011000000000100…
…11111110101011011
3222022221100202101201
421200002133311123
5131343001431021
64404131055031
7510536533510
oct114002376533
928287322351
1010201202011
114365349070
121b88441477
13c675a5910
146cab79307
153ea8a3591
hex26009fd5b

10201202011 has 64 divisors (see below), whose sum is σ = 14663577600. Its totient is φ = 6832771200.

The previous prime is 10201201993. The next prime is 10201202027. The reversal of 10201202011 is 11020210201.

10201202011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10201202011 - 217 = 10201070939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201202411) 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 63 ways as a sum of consecutive naturals, for example, 1117576 + ... + 1126666.

It is an arithmetic number, because the mean of its divisors is an integer number (229118400).

Almost surely, 210201202011 is an apocalyptic number.

10201202011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10201202011 is a deficient number, since it is larger than the sum of its proper divisors (4462375589).

10201202011 is a wasteful number, since it uses less digits than its factorization.

10201202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200.

The product of its (nonzero) digits is 8, while the sum is 10.

Subtracting from 10201202011 its sum of digits (10), we obtain a square (10201202001 = 1010012).

Adding to 10201202011 its reverse (11020210201), we get a palindrome (21221412212).

It can be divided in two parts, 10201 and 202011, that added together give a palindrome (212212).

The spelling of 10201202011 in words is "ten billion, two hundred one million, two hundred two thousand, eleven".

Divisors: 1 7 11 13 19 59 77 91 133 143 209 247 413 649 767 1001 1121 1463 1729 2717 4543 5369 7847 8437 9091 12331 14573 19019 59059 63637 86317 100001 102011 118183 160303 172729 536369 700007 827281 1122121 1209103 1300013 1900019 2245477 3754583 5900059 6972797 9100091 10191011 13300133 15718339 24700247 41300413 48809579 71337077 76700767 112101121 132483143 172901729 536905369 784707847 927382001 1457314573 10201202011