Search a number
-
+
2123002220331 = 35509031284559
BaseRepresentation
bin11110111001001100110…
…010110000111100101011
321111221211200020001112010
4132321030302300330223
5234240402032022311
64303143241251003
7306244655061306
oct36711462607453
97457750201463
102123002220331
117493a6452533
122a3551193a63
1312527672c775
1474a7a819b3d
153a356814da6
hex1ee4ccb0f2b

2123002220331 has 8 divisors (see below), whose sum is σ = 2830676968960. Its totient is φ = 1415331142632.

The previous prime is 2123002220281. The next prime is 2123002220369. The reversal of 2123002220331 is 1330222003212.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2123002220331 - 215 = 2123002187563 is a prime.

It is a super-2 number, since 2×21230022203312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123002220298 and 2123002220307.

It is not an unprimeable number, because it can be changed into a prime (2123002200331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1010430 + ... + 2294988.

It is an arithmetic number, because the mean of its divisors is an integer number (353834621120).

Almost surely, 22123002220331 is an apocalyptic number.

2123002220331 is a deficient number, since it is larger than the sum of its proper divisors (707674748629).

2123002220331 is a wasteful number, since it uses less digits than its factorization.

2123002220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835465.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2123002220331 its reverse (1330222003212), we get a palindrome (3453224223543).

The spelling of 2123002220331 in words is "two trillion, one hundred twenty-three billion, two million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 550903 1284559 1652709 3853677 707667406777 2123002220331