Search a number
-
+
1123311122001 = 32423232949043
BaseRepresentation
bin10000010110001010100…
…011110111011001010001
310222101110111001110110200
4100112022203313121101
5121401020121401001
62220013023445413
7144104460665235
oct20261243673121
93871414043420
101123311122001
113a3436930a82
12161856756869
1381c0a45a6a3
143c5234225c5
151e34726a086
hex1058a8f7651

1123311122001 has 12 divisors (see below), whose sum is σ = 1622599397328. Its totient is φ = 748856133144.

The previous prime is 1123311121979. The next prime is 1123311122051. The reversal of 1123311122001 is 1002211133211.

1123311122001 is a `hidden beast` number, since 112 + 331 + 1 + 1 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 1123311122001 - 27 = 1123311121873 is a prime.

It is a super-2 number, since 2×11233111220012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123311122051) 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 11 ways as a sum of consecutive naturals, for example, 1093615 + ... + 1855428.

It is an arithmetic number, because the mean of its divisors is an integer number (135216616444).

Almost surely, 21123311122001 is an apocalyptic number.

It is an amenable number.

1123311122001 is a deficient number, since it is larger than the sum of its proper divisors (499288275327).

1123311122001 is a wasteful number, since it uses less digits than its factorization.

1123311122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991372 (or 2991369 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1123311122001 its reverse (1002211133211), we get a palindrome (2125522255212).

The spelling of 1123311122001 in words is "one trillion, one hundred twenty-three billion, three hundred eleven million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 42323 126969 380907 2949043 8847129 26541387 124812346889 374437040667 1123311122001