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110212212032 = 2613177792153
BaseRepresentation
bin110011010100100101…
…0001110010101000000
3101112110212201110112222
41212221022032111000
53301203311241112
6122344130110212
710651106226266
oct1465112162500
9345425643488
10110212212032
1142816a1415a
1219439a1b368
13a51546b860
145497464436
152d00a65372
hex19a928e540

110212212032 has 56 divisors (see below), whose sum is σ = 249380096616. Its totient is φ = 47874981888.

The previous prime is 110212212031. The next prime is 110212212073. The reversal of 110212212032 is 230212212011.

It can be written as a sum of positive squares in 4 ways, for example, as 28269714496 + 81942497536 = 168136^2 + 286256^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 110212212032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212212031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3881933 + ... + 3910220.

It is an arithmetic number, because the mean of its divisors is an integer number (4453216011).

Almost surely, 2110212212032 is an apocalyptic number.

It is an amenable number.

110212212032 is an abundant number, since it is smaller than the sum of its proper divisors (139167884584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110212212032 is a wasteful number, since it uses less digits than its factorization.

110212212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792195 (or 7792185 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 110212212032 its reverse (230212212011), we get a palindrome (340424424043).

The spelling of 110212212032 in words is "one hundred ten billion, two hundred twelve million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 7792153 15584306 31168612 62337224 101297989 124674448 132466601 202595978 249348896 264933202 405191956 498697792 529866404 810383912 1059732808 1620767824 1722065813 2119465616 3241535648 3444131626 4238931232 6483071296 6888263252 8477862464 13776526504 27553053008 55106106016 110212212032