Search a number
-
+
12665342645130 = 23571012932038021
BaseRepresentation
bin1011100001001110000100…
…1111111101001110001010
31122211210110111122110100110
42320103201033331032022
53130002110204121010
642534213400015150
72445016666125060
oct270234117751612
948753414573313
1012665342645130
11404338381385a
1215067657614b6
1370b44b915446
1431b0120cc030
1516e6c457c120
hexb84e13fd38a

12665342645130 has 128 divisors (see below), whose sum is σ = 35202933351936. Its totient is φ = 2856488832000.

The previous prime is 12665342645119. The next prime is 12665342645147. The reversal of 12665342645130 is 3154624356621.

It is a super-2 number, since 2×126653426451302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12665342645130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5195520 + ... + 7233540.

It is an arithmetic number, because the mean of its divisors is an integer number (275022916812).

Almost surely, 212665342645130 is an apocalyptic number.

12665342645130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12665342645130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17601466675968).

12665342645130 is an abundant number, since it is smaller than the sum of its proper divisors (22537590706806).

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

12665342645130 is a wasteful number, since it uses less digits than its factorization.

12665342645130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038432.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 12665342645130 in words is "twelve trillion, six hundred sixty-five billion, three hundred forty-two million, six hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 293 303 505 586 606 707 879 1010 1414 1465 1515 1758 2051 2121 2930 3030 3535 4102 4242 4395 6153 7070 8790 10255 10605 12306 20510 21210 29593 30765 59186 61530 88779 147965 177558 207151 295930 414302 443895 621453 887790 1035755 1242906 2038021 2071510 3107265 4076042 6114063 6214530 10190105 12228126 14266147 20380210 28532294 30570315 42798441 61140630 71330735 85596882 142661470 205840121 213992205 411680242 427984410 597140153 617520363 1029200605 1194280306 1235040726 1440880847 1791420459 2058401210 2881761694 2985700765 3087601815 3582840918 4179981071 4322642541 5971401530 6175203630 7204404235 8359962142 8645285082 8957102295 12539943213 14408808470 17914204590 20899905355 21613212705 25079886426 41799810710 43226425410 60311155453 62699716065 120622310906 125399432130 180933466359 301555777265 361866932718 422178088171 603111554530 844356176342 904667331795 1266534264513 1809334663590 2110890440855 2533068529026 4221780881710 6332671322565 12665342645130