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10221032033 = 37253140869
BaseRepresentation
bin10011000010011100…
…01001001001100001
3222101022200020001222
421201032021021201
5131413041011113
64410120104425
7511200224132
oct114116111141
928338606058
1010221032033
114375562713
121b93005115
13c6b729864
146cd65bc89
153ec4bde08
hex261389261

10221032033 has 12 divisors (see below), whose sum is σ = 10703020860. Its totient is φ = 9757081152.

The previous prime is 10221032011. The next prime is 10221032053. The reversal of 10221032033 is 33023012201.

It can be written as a sum of positive squares in 6 ways, for example, as 5193796624 + 5027235409 = 72068^2 + 70903^2 .

It is a de Polignac number, because none of the positive numbers 2k-10221032033 is a prime.

It is a super-2 number, since 2×102210320332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221032053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2123 + ... + 142991.

It is an arithmetic number, because the mean of its divisors is an integer number (891918405).

Almost surely, 210221032033 is an apocalyptic number.

It is an amenable number.

10221032033 is a deficient number, since it is larger than the sum of its proper divisors (481988827).

10221032033 is an equidigital number, since it uses as much as digits as its factorization.

10221032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140996 (or 140959 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10221032033 its reverse (33023012201), we get a palindrome (43244044234).

The spelling of 10221032033 in words is "ten billion, two hundred twenty-one million, thirty-two thousand, thirty-three".

Divisors: 1 37 53 1369 1961 72557 140869 5212153 7466057 192849661 276244109 10221032033