Search a number
-
+
324135536525130 = 2351119313165163763
BaseRepresentation
bin100100110110011001010111…
…1100000110111111101001010
31120111200001110211222122202010
41021230302233200313331022
5314441114034322301010
63105213450530320350
7125163006522130131
oct11154625740677512
91514601424878663
10324135536525130
1194309122199560
123042b77b4290b6
1310bb2b0841a775
145a0835a902918
1527717985ea620
hex126ccaf837f4a

324135536525130 has 128 divisors (see below), whose sum is σ = 896165370362880. Its totient is φ = 74204774991360.

The previous prime is 324135536525113. The next prime is 324135536525153. The reversal of 324135536525130 is 31525635531423.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 324135536525130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80619372 + ... + 84544391.

It is an arithmetic number, because the mean of its divisors is an integer number (7001291955960).

Almost surely, 2324135536525130 is an apocalyptic number.

324135536525130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

324135536525130 is an abundant number, since it is smaller than the sum of its proper divisors (572029833837750).

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

324135536525130 is a wasteful number, since it uses less digits than its factorization.

324135536525130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165164116.

The product of its (nonzero) digits is 4860000, while the sum is 48.

The spelling of 324135536525130 in words is "three hundred twenty-four trillion, one hundred thirty-five billion, five hundred thirty-six million, five hundred twenty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 313 330 418 570 626 627 939 1045 1254 1565 1878 2090 3130 3135 3443 4695 5947 6270 6886 9390 10329 11894 17215 17841 20658 29735 34430 35682 51645 59470 65417 89205 103290 130834 178410 196251 327085 392502 654170 981255 1962510 165163763 330327526 495491289 825818815 990982578 1651637630 1816801393 2477456445 3138111497 3633602786 4954912890 5450404179 6276222994 9084006965 9414334491 10900808358 15690557485 18168013930 18828668982 27252020895 31381114970 34519226467 47071672455 51696257819 54504041790 69038452934 94143344910 103392515638 103557679401 155088773457 172596132335 207115358802 258481289095 310177546914 345192264670 516962578190 517788397005 568658836009 775443867285 982228898561 1035576794010 1137317672018 1550887734570 1705976508027 1964457797122 2843294180045 2946686695683 3411953016054 4911144492805 5686588360090 5893373391366 8529882540135 9822288985610 10804517884171 14733433478415 17059765080270 21609035768342 29466866956830 32413553652513 54022589420855 64827107305026 108045178841710 162067768262565 324135536525130