Search a number
-
+
12311313200312 = 23717191627418337
BaseRepresentation
bin1011001100100111001101…
…1100110011010010111000
31121120221122120210020211112
42303021303130303102320
53103202032134402222
642103423400215452
72410314550366220
oct263116334632270
947527576706745
1012311313200312
113a17220389a25
12146a021a6a588
136b3c4b2b6059
14307c2943d080
151653a38d8be2
hexb32737334b8

12311313200312 has 128 divisors (see below), whose sum is σ = 29421544204800. Its totient is φ = 4701641490432.

The previous prime is 12311313200309. The next prime is 12311313200317. The reversal of 12311313200312 is 21300231311321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311313200317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29220008 + ... + 29638344.

It is an arithmetic number, because the mean of its divisors is an integer number (229855814100).

Almost surely, 212311313200312 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 12311313200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710772102400).

12311313200312 is an abundant number, since it is smaller than the sum of its proper divisors (17110231004488).

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

12311313200312 is a wasteful number, since it uses less digits than its factorization.

12311313200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420013 (or 420009 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12311313200312 its reverse (21300231311321), we get a palindrome (33611544511633).

The spelling of 12311313200312 in words is "twelve trillion, three hundred eleven billion, three hundred thirteen million, two hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 1627 2261 2584 3254 4522 6508 9044 11389 13016 18088 22778 27659 30913 45556 55318 61826 91112 110636 123652 193613 216391 221272 247304 387226 418337 432782 525521 774452 836674 865564 1051042 1548904 1673348 1731128 2102084 2928359 3346696 3678647 4204168 5856718 7111729 7357294 7948403 11713436 14223458 14714588 15896806 23426872 28446916 29429176 31793612 49782103 55638821 56893832 63587224 99564206 111277642 135122851 199128412 222555284 270245702 398256824 445110568 540491404 680634299 945859957 1080982808 1361268598 1891719914 2722537196 3783439828 4764440093 5445074392 7566879656 9528880186 11570783083 12932051681 19057760372 23141566166 25864103362 38115520744 46283132332 51728206724 80995481581 90524361767 92566264664 103456413448 161990963162 181048723534 219844878577 323981926324 362097447068 439689757154 647963852648 724194894136 879379514308 1538914150039 1758759028616 3077828300078 6155656600156 12311313200312