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10011202201 = 72111319292593
BaseRepresentation
bin10010101001011011…
…01101001010011001
3221211200211202122201
421110231231022121
5131000331432301
64333222450201
7503041546300
oct112455551231
927750752581
1010011202201
114278076430
121b34893961
13c371102b0
146ad83b437
153d8d72201
hex254b6d299

10011202201 has 96 divisors (see below), whose sum is σ = 14904086400. Its totient is φ = 6584094720.

The previous prime is 10011202193. The next prime is 10011202219. The reversal of 10011202201 is 10220211001.

10011202201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011202201 - 23 = 10011202193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011202231) 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 95 ways as a sum of consecutive naturals, for example, 3859561 + ... + 3862153.

It is an arithmetic number, because the mean of its divisors is an integer number (155250900).

Almost surely, 210011202201 is an apocalyptic number.

10011202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011202201 is a deficient number, since it is larger than the sum of its proper divisors (4892884199).

10011202201 is a wasteful number, since it uses less digits than its factorization.

10011202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2672 counting only the distinct ones).

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

Adding to 10011202201 its reverse (10220211001), we get a palindrome (20231413202).

It can be divided in two parts, 10011 and 202201, that added together give a palindrome (212212).

The spelling of 10011202201 in words is "ten billion, eleven million, two hundred two thousand, two hundred one".

Divisors: 1 7 11 13 19 29 49 77 91 133 143 203 209 247 319 377 539 551 637 931 1001 1421 1463 1729 2233 2593 2639 2717 3857 4147 6061 7007 7163 10241 12103 15631 18151 18473 19019 26999 28523 29029 33709 42427 49267 50141 75197 78793 127057 133133 199661 203203 235963 296989 344869 350987 370799 526379 541937 551551 640471 827167 977561 1397627 1428743 1651741 2414083 2595593 3684653 3793559 3860857 4483297 5790169 6842927 7045181 10001201 10753171 15716173 18169151 18573659 26554913 31383079 40531183 47900489 49316267 70008407 75272197 110013211 130015613 204310249 345213869 526905379 770092477 910109291 1430171743 10011202201