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10222000011 = 342931313903
BaseRepresentation
bin10011000010100011…
…10101011110001011
3222101101111101220000
421201101311132023
5131413313000021
64410152534043
7511211365206
oct114121653613
928341441800
1010222000011
1143760639a3
121b933b1323
13c6b9a8322
146cd83093d
153ec610b26
hex26147578b

10222000011 has 40 divisors (see below), whose sum is σ = 15848057280. Its totient is φ = 6558185088.

The previous prime is 10222000007. The next prime is 10222000013. The reversal of 10222000011 is 11000022201.

10222000011 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 10222000011 - 22 = 10222000007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10221999957 and 10222000002.

It is not an unprimeable number, because it can be changed into a prime (10222000013) 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 39 ways as a sum of consecutive naturals, for example, 728286 + ... + 742188.

It is an arithmetic number, because the mean of its divisors is an integer number (396201432).

Almost surely, 210222000011 is an apocalyptic number.

10222000011 is a deficient number, since it is larger than the sum of its proper divisors (5626057269).

10222000011 is a wasteful number, since it uses less digits than its factorization.

10222000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14257 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10222000011 its reverse (11000022201), we get a palindrome (21222022212).

The spelling of 10222000011 in words is "ten billion, two hundred twenty-two million, eleven", and thus it is an aban number.

Divisors: 1 3 9 27 29 81 87 261 313 783 939 2349 2817 8451 9077 13903 25353 27231 41709 81693 125127 245079 375381 403187 735237 1126143 1209561 3628683 4351639 10886049 13054917 32658147 39164751 117494253 126197531 352482759 378592593 1135777779 3407333337 10222000011