Search a number
-
+
200100132213024 = 25312810291627111
BaseRepresentation
bin101101011111110101110001…
…010011001101000100100000
3222020111101102021001111222210
4231133311301103031010200
5202211420032321304044
61545324422014202120
760101520546141651
oct5537656123150440
9866441367044883
10200100132213024
1158837a9804200a
121a5388b54b3340
1387864912b0484
14375ac8045d528
1518200e4be31b9
hexb5fd714cd120

200100132213024 has 48 divisors (see below), whose sum is σ = 525263579910720. Its totient is φ = 66699951010560.

The previous prime is 200100132212801. The next prime is 200100132213029. The reversal of 200100132213024 is 420312231001002.

200100132213024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (200100132213029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122165229 + ... + 123792339.

It is an arithmetic number, because the mean of its divisors is an integer number (10942991248140).

Almost surely, 2200100132213024 is an apocalyptic number.

200100132213024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200100132213024 is an abundant number, since it is smaller than the sum of its proper divisors (325163447697696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200100132213024 is a wasteful number, since it uses less digits than its factorization.

200100132213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908153 (or 2908145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 200100132213024 its reverse (420312231001002), we get a palindrome (620412363214026).

The spelling of 200100132213024 in words is "two hundred trillion, one hundred billion, one hundred thirty-two million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1281029 1627111 2562058 3254222 3843087 4881333 5124116 6508444 7686174 9762666 10248232 13016888 15372348 19525332 20496464 26033776 30744696 39050664 40992928 52067552 61489392 78101328 122978784 156202656 2084376377219 4168752754438 6253129131657 8337505508876 12506258263314 16675011017752 25012516526628 33350022035504 50025033053256 66700044071008 100050066106512 200100132213024