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10222202221 = 711178599091
BaseRepresentation
bin10011000010100101…
…00110110101101101
3222101101212200021021
421201102212311231
5131413340432341
64410201134141
7511213166560
oct114122466555
928341780237
1010222202221
114376191910
121b9348a351
13c6ba4938a
146cd8844d7
153ec6509d1
hex2614a6d6d

10222202221 has 32 divisors (see below), whose sum is σ = 13511439360. Its totient is φ = 7487251200.

The previous prime is 10222202201. The next prime is 10222202227. The reversal of 10222202221 is 12220222201.

10222202221 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 10222202221 - 211 = 10222200173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222202195 and 10222202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222202227) 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 31 ways as a sum of consecutive naturals, for example, 1119886 + ... + 1128976.

It is an arithmetic number, because the mean of its divisors is an integer number (422232480).

Almost surely, 210222202221 is an apocalyptic number.

10222202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222202221 is a deficient number, since it is larger than the sum of its proper divisors (3289237139).

10222202221 is a wasteful number, since it uses less digits than its factorization.

10222202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10222202221 its reverse (12220222201), we get a palindrome (22442424422).

The spelling of 10222202221 in words is "ten billion, two hundred twenty-two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 7 11 17 77 119 187 859 1309 6013 9091 9449 14603 63637 66143 100001 102221 154547 160633 700007 1081829 1124431 1700017 7809169 11900119 54664183 85900859 132755873 601306013 929291111 1460314603 10222202221