Search a number
-
+
2121330003233 = 72356323403131
BaseRepresentation
bin11110110111101001000…
…111110000110100100001
321111210112010122121220112
4132313221013300310201
5234223440440100413
64302305304021105
7306155351341640
oct36675107606441
97453463577815
102121330003233
11748718536031
122a3165161795
1312506b15ccac
147495c6c7357
153a2a9aed2a8
hex1ede91f0d21

2121330003233 has 16 divisors (see below), whose sum is σ = 2534278358016. Its totient is φ = 1736137795920.

The previous prime is 2121330003223. The next prime is 2121330003239. The reversal of 2121330003233 is 3323000331212.

It is a cyclic number.

It is not a de Polignac number, because 2121330003233 - 214 = 2121329986849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121330003199 and 2121330003208.

It is not an unprimeable number, because it can be changed into a prime (2121330003239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11610923 + ... + 11792208.

It is an arithmetic number, because the mean of its divisors is an integer number (158392397376).

Almost surely, 22121330003233 is an apocalyptic number.

2121330003233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2121330003233 is a deficient number, since it is larger than the sum of its proper divisors (412948354783).

2121330003233 is a wasteful number, since it uses less digits than its factorization.

2121330003233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23403724.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2121330003233 its reverse (3323000331212), we get a palindrome (5444330334445).

The spelling of 2121330003233 in words is "two trillion, one hundred twenty-one billion, three hundred thirty million, three thousand, two hundred thirty-three".

Divisors: 1 7 23 161 563 3941 12949 90643 23403131 163821917 538272013 3767904091 13175962753 92231739271 303047143319 2121330003233