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10010114341002 = 232556117463389
BaseRepresentation
bin1001000110101010100101…
…0011110011100010001010
31022102221212002011000022200
42101222221103303202022
52303001203232403002
633142325534301030
72052130652001036
oct221525123634212
938387762130280
1010010114341002
11320a2a1645126
12115803b057776
13577c4673ab99
142686c65371c6
151255bcd89b1c
hex91aa94f388a

10010114341002 has 12 divisors (see below), whose sum is σ = 21688581072210. Its totient is φ = 3336704780328.

The previous prime is 10010114340997. The next prime is 10010114341013. The reversal of 10010114341002 is 20014341101001.

10010114341002 is a `hidden beast` number, since 10 + 0 + 101 + 143 + 410 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5798757779721 + 4211356561281 = 2408061^2 + 2052159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 556117463389 = 10010114341002 / (1 + 0 + 0 + 1 + 0 + 1 + 1 + 4 + 3 + 4 + 1 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278058731677 + ... + 278058731712.

Almost surely, 210010114341002 is an apocalyptic number.

10010114341002 is an abundant number, since it is smaller than the sum of its proper divisors (11678466731208).

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

10010114341002 is a wasteful number, since it uses less digits than its factorization.

10010114341002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556117463397 (or 556117463394 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10010114341002 its reverse (20014341101001), we get a palindrome (30024455442003).

The spelling of 10010114341002 in words is "ten trillion, ten billion, one hundred fourteen million, three hundred forty-one thousand, two".

Divisors: 1 2 3 6 9 18 556117463389 1112234926778 1668352390167 3336704780334 5005057170501 10010114341002