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10010210032314 = 2328917093656273
BaseRepresentation
bin1001000110101010111100…
…0000110101101010111010
31022102222002202012122010100
42101222233000311222322
52303001402232013224
633142343233300230
72052133223236332
oct221525700655272
938388082178110
1010010210032314
11320a340663458
121158067104676
13577c6050346b
142686d51260c2
151255c648cac9
hex91aaf035aba

10010210032314 has 48 divisors (see below), whose sum is σ = 21945322175400. Its totient is φ = 3297313840128.

The previous prime is 10010210032279. The next prime is 10010210032327. The reversal of 10010210032314 is 41323001201001.

10010210032314 is a `hidden beast` number, since 100 + 10 + 210 + 0 + 32 + 314 = 666.

10010210032314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8856379585089 + 1153830447225 = 2975967^2 + 1074165^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909682 + ... + 4565954.

Almost surely, 210010210032314 is an apocalyptic number.

10010210032314 is an abundant number, since it is smaller than the sum of its proper divisors (11935112143086).

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

10010210032314 is a wasteful number, since it uses less digits than its factorization.

10010210032314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658079 (or 3658076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10010210032314 its reverse (41323001201001), we get a palindrome (51333211233315).

The spelling of 10010210032314 in words is "ten trillion, ten billion, two hundred ten million, thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 1709 3418 5127 10254 15381 30762 152101 304202 456303 912606 1368909 2737818 3656273 7312546 10968819 21937638 32906457 65812914 325408297 650816594 976224891 1952449782 2928674673 5857349346 6248570557 12497141114 18745711671 37491423342 56237135013 112474270026 556122779573 1112245559146 1668368338719 3336736677438 5005105016157 10010210032314