Search a number
-
+
2001303121123 = 191372586729723
BaseRepresentation
bin11101000111110110111…
…101100010110011100011
321002022201020220021002101
4131013312331202303203
5230242132044333443
64131215211231231
7264406104565015
oct35076675426343
97068636807071
102001303121123
1170182548aa99
12283a48448517
13116950522b67
146cc139841b5
15370d25d784d
hex1d1f6f62ce3

2001303121123 has 16 divisors (see below), whose sum is σ = 2122165192320. Its totient is φ = 1881996088896.

The previous prime is 2001303121099. The next prime is 2001303121133. The reversal of 2001303121123 is 3211213031002.

It is a cyclic number.

It is not a de Polignac number, because 2001303121123 - 221 = 2001301023971 is a prime.

It is a super-3 number, since 3×20013031211233 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001303121123.

It is not an unprimeable number, because it can be changed into a prime (2001303121133) 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, 67316940 + ... + 67346662.

It is an arithmetic number, because the mean of its divisors is an integer number (132635324520).

Almost surely, 22001303121123 is an apocalyptic number.

2001303121123 is a deficient number, since it is larger than the sum of its proper divisors (120862071197).

2001303121123 is a wasteful number, since it uses less digits than its factorization.

2001303121123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55746.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2001303121123 its reverse (3211213031002), we get a palindrome (5212516152125).

The spelling of 2001303121123 in words is "two trillion, one billion, three hundred three million, one hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 19 137 2603 25867 29723 491473 564737 3543779 4072051 67331801 77368969 768844841 14608051979 105331743217 2001303121123