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2313124132312 = 237591398815717
BaseRepresentation
bin100001101010010000111…
…100010011010111011000
322012010120121010212200201
4201222100330103113120
5300344234234213222
64530345021511544
7326055241500010
oct41522074232730
98163517125621
102313124132312
11811a992a6a24
123143707125b4
1313a1853a7736
147dd54a30c40
154028295d427
hex21a90f135d8

2313124132312 has 128 divisors (see below), whose sum is σ = 5083622208000. Its totient is φ = 966258247680.

The previous prime is 2313124132307. The next prime is 2313124132331. The reversal of 2313124132312 is 2132314213132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404601678 + ... + 404607394.

It is an arithmetic number, because the mean of its divisors is an integer number (39715798500).

Almost surely, 22313124132312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313124132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541811104000).

2313124132312 is an abundant number, since it is smaller than the sum of its proper divisors (2770498075688).

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

2313124132312 is a wasteful number, since it uses less digits than its factorization.

2313124132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6805 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 2313124132312 its reverse (2132314213132), we get a palindrome (4445438345444).

The spelling of 2313124132312 in words is "two trillion, three hundred thirteen billion, one hundred twenty-four million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 59 118 139 236 278 413 472 556 826 881 973 1112 1652 1762 1946 3304 3524 3892 5717 6167 7048 7784 8201 11434 12334 16402 22868 24668 32804 40019 45736 49336 51979 57407 65608 80038 103958 114814 122459 160076 207916 229628 244918 320152 337303 363853 415832 459256 489836 674606 727706 794663 857213 979672 1349212 1455412 1589326 1714426 2361121 2698424 2910824 3178652 3428852 4722242 5036677 5562641 6357304 6857704 7225081 9444484 10073354 11125282 14450162 18888968 20146708 22250564 28900324 35256739 40293416 44501128 46885117 50575567 57800648 70513478 93770234 101151134 141026956 187540468 202302268 282053912 297163943 328195819 375080936 404604536 594327886 656391638 700098103 1188655772 1312783276 1400196206 2080147601 2377311544 2625566552 2800392412 4160295202 4900686721 5600784824 8320590404 9801373442 16641180808 19602746884 39205493768 41305788077 82611576154 165223152308 289140516539 330446304616 578281033078 1156562066156 2313124132312