Search a number
-
+
2003301232133 = 172343929174001
BaseRepresentation
bin11101001001101110000…
…011101110111000000101
321002111212111200211002212
4131021232003232320011
5230310230103412013
64132145345513205
7264506446341365
oct35115603567005
97074774624085
102003301232133
11702660357403
12284305642805
13116bab488476
146cd630aa9a5
153719cc256a8
hex1d26e0eee05

2003301232133 has 32 divisors (see below), whose sum is σ = 2219723066880. Its totient is φ = 1798308864000.

The previous prime is 2003301232103. The next prime is 2003301232139. The reversal of 2003301232133 is 3312321033002.

It is a cyclic number.

It is not a de Polignac number, because 2003301232133 - 220 = 2003300183557 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2003301232099 and 2003301232108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003301232139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500698133 + ... + 500702133.

It is an arithmetic number, because the mean of its divisors is an integer number (69366345840).

Almost surely, 22003301232133 is an apocalyptic number.

2003301232133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2003301232133 is a deficient number, since it is larger than the sum of its proper divisors (216421834747).

2003301232133 is a wasteful number, since it uses less digits than its factorization.

2003301232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397.

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

Adding to 2003301232133 its reverse (3312321033002), we get a palindrome (5315622265135).

The spelling of 2003301232133 in words is "two trillion, three billion, three hundred one million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 17 23 391 439 2917 4001 7463 10097 49589 67091 68017 92023 171649 1140547 1280563 1564391 1756439 11670917 21769571 29452949 29859463 40398097 198405589 268431091 500700133 686767649 4563328547 5123532563 87100053571 117841248949 2003301232133