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2124331331 = 97211271383
BaseRepresentation
bin111111010011110…
…1011100101000011
312111001022012202012
41332213223211003
513322312100311
6550443443135
7103433342543
oct17647534503
95431265665
102124331331
119a0147631
124b35264ab
1327b1598b5
141621c1323
15c677178b
hex7e9eb943

2124331331 has 16 divisors (see below), whose sum is σ = 2170011648. Its totient is φ = 2079302400.

The previous prime is 2124331291. The next prime is 2124331369. The reversal of 2124331331 is 1331334212.

It is a cyclic number.

It is not a de Polignac number, because 2124331331 - 226 = 2057222467 is a prime.

It is a super-2 number, since 2×21243313312 = 9025567207736463122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2124331297 and 2124331306.

It is not an unprimeable number, because it can be changed into a prime (2124331031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5546366 + ... + 5546748.

It is an arithmetic number, because the mean of its divisors is an integer number (135625728).

Almost surely, 22124331331 is an apocalyptic number.

2124331331 is a deficient number, since it is larger than the sum of its proper divisors (45680317).

2124331331 is a wasteful number, since it uses less digits than its factorization.

2124331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962.

The product of its digits is 1296, while the sum is 23.

The square root of 2124331331 is about 46090.4689822093. The cubic root of 2124331331 is about 1285.5059312772.

Adding to 2124331331 its reverse (1331334212), we get a palindrome (3455665543).

The spelling of 2124331331 in words is "two billion, one hundred twenty-four million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 97 211 271 383 20467 26287 37151 57181 80813 103793 5546557 7838861 10067921 21900323 2124331331