Search a number
-
+
21010222004004 = 2232583617277889
BaseRepresentation
bin1001100011011110100101…
…10100011011011100100100
32202101120001111101112111200
410301233102310123130210
510223212413313112004
6112403543541402500
74265636613253602
oct461572264333444
982346044345450
1021010222004004
116770426649922
122433b08a09430
13b9534225964c
14528c860d6872
152667cdc0e239
hex131bd2d1b724

21010222004004 has 18 divisors (see below), whose sum is σ = 53109172287990. Its totient is φ = 7003407334656.

The previous prime is 21010222003951. The next prime is 21010222004027. The reversal of 21010222004004 is 40040022201012.

21010222004004 is a `hidden beast` number, since 210 + 10 + 22 + 20 + 0 + 400 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17600105781504 + 3410116222500 = 4195248^2 + 1846650^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291808638909 + ... + 291808638980.

It is an arithmetic number, because the mean of its divisors is an integer number (2950509571555).

Almost surely, 221010222004004 is an apocalyptic number.

It is an amenable number.

21010222004004 is an abundant number, since it is smaller than the sum of its proper divisors (32098950283986).

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

21010222004004 is a wasteful number, since it uses less digits than its factorization.

21010222004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583617277899 (or 583617277894 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21010222004004 its reverse (40040022201012), we get a palindrome (61050244205016).

The spelling of 21010222004004 in words is "twenty-one trillion, ten billion, two hundred twenty-two million, four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 583617277889 1167234555778 1750851833667 2334469111556 3501703667334 5252555501001 7003407334668 10505111002002 21010222004004