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2312542310013 = 32131773106314983
BaseRepresentation
bin100001101001101110010…
…000110100111001111101
322012002002001100020112200
4201221232100310321331
5300342041312410023
64530211155222113
7326034645210045
oct41515620647175
98162061306480
102312542310013
1181181a934251
123142298a7939
1313a0c19a49a0
147dcdb65a725
154024b831743
hex21a6e434e7d

2312542310013 has 96 divisors (see below), whose sum is σ = 3864960013824. Its totient is φ = 1319712362496.

The previous prime is 2312542309999. The next prime is 2312542310027. The reversal of 2312542310013 is 3100132452132.

2312542310013 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 542 + 3 + 100 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (2312542309999) and next prime (2312542310027).

It is not a de Polignac number, because 2312542310013 - 213 = 2312542301821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312542310213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154336920 + ... + 154351902.

It is an arithmetic number, because the mean of its divisors is an integer number (40260000144).

Almost surely, 22312542310013 is an apocalyptic number.

It is an amenable number.

2312542310013 is a deficient number, since it is larger than the sum of its proper divisors (1552417703811).

2312542310013 is a wasteful number, since it uses less digits than its factorization.

2312542310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16155 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2312542310013 its reverse (3100132452132), we get a palindrome (5412674762145).

The spelling of 2312542310013 in words is "two trillion, three hundred twelve billion, five hundred forty-two million, three hundred ten thousand, thirteen".

Divisors: 1 3 9 13 17 39 51 73 117 153 219 221 657 663 949 1063 1241 1989 2847 3189 3723 8541 9567 11169 13819 14983 16133 18071 41457 44949 48399 54213 77599 124371 134847 145197 162639 194779 232797 234923 254711 584337 698391 704769 764133 1008787 1093759 1319183 1753011 2114307 2292399 3026361 3281277 3311243 3957549 9079083 9843831 9933729 11872647 14218867 15926929 17149379 18593903 29801187 42656601 47780787 51448137 55781709 127969803 143342361 154344411 167345127 207050077 241720739 270757793 621150231 725162217 812273379 1162665817 1863450693 2175486651 2436820137 3487997451 3519851309 10463992353 10559553927 15114655621 19765318889 31678661781 45343966863 59295956667 136031900589 177887870001 256949145557 770847436671 2312542310013