Search a number
-
+
133100101143141 = 31123261136715523
BaseRepresentation
bin11110010000110111001000…
…001111111000101001100101
3122110021020121220020111202220
4132100313020033320221211
5114421203001343040031
61151025201540222553
740015110404510166
oct3620671017705145
9573236556214686
10133100101143141
1139456488201380
1212b1783669aa59
135936393848722
1424c211772376d
15105c38bd55596
hex790dc83f8a65

133100101143141 has 32 divisors (see below), whose sum is σ = 202025311183872. Its totient is φ = 77156512604160.

The previous prime is 133100101143067. The next prime is 133100101143169. The reversal of 133100101143141 is 141341101001331.

133100101143141 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133100101143141 - 215 = 133100101110373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133100101133141) 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, 16462006 + ... + 23177528.

It is an arithmetic number, because the mean of its divisors is an integer number (6313290974496).

Almost surely, 2133100101143141 is an apocalyptic number.

133100101143141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133100101143141 is a deficient number, since it is larger than the sum of its proper divisors (68925210040731).

133100101143141 is a wasteful number, since it uses less digits than its factorization.

133100101143141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741673.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 133100101143141 its reverse (141341101001331), we get a palindrome (274441202144472).

The spelling of 133100101143141 in words is "one hundred thirty-three trillion, one hundred billion, one hundred one million, one hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 11 23 33 69 253 759 26113 78339 287243 600599 861729 1801797 6606589 6715523 19819767 20146569 73870753 154457029 221612259 463371087 1699027319 5097081957 175362452099 526087356297 1928986973089 4033336398277 5786960919267 12100009194831 44366700381047 133100101143141