Search a number
-
+
223030123213002 = 23761457379350221
BaseRepresentation
bin110010101101100000111111…
…010001001011000011001010
31002020200110201202111121111220
4302231200333101023003022
5213213111143020304002
62110202342452102510
764656252236565120
oct6255407721130312
91066613652447456
10223030123213002
11650785a9196916
1221020895004a36
13975a85bb480b1
143d10a036d7910
151abb7d2ed07bc
hexcad83f44b0ca

223030123213002 has 128 divisors (see below), whose sum is σ = 519421271244288. Its totient is φ = 62523369676800.

The previous prime is 223030123212989. The next prime is 223030123213019. The reversal of 223030123213002 is 200312321030322.

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, 4440948252 + ... + 4440998472.

It is an arithmetic number, because the mean of its divisors is an integer number (4057978681596).

Almost surely, 2223030123213002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223030123213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259710635622144).

223030123213002 is an abundant number, since it is smaller than the sum of its proper divisors (296391148031286).

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

223030123213002 is a wasteful number, since it uses less digits than its factorization.

223030123213002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54544.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 223030123213002 its reverse (200312321030322), we get a palindrome (423342444243324).

The spelling of 223030123213002 in words is "two hundred twenty-three trillion, thirty billion, one hundred twenty-three million, two hundred thirteen thousand, two".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 457 854 914 1281 1371 2562 2742 3199 3793 6398 7586 9597 11379 19194 22758 26551 27877 50221 53102 55754 79653 83631 100442 150663 159306 167262 195139 231373 301326 351547 390278 462746 585417 694119 703094 1054641 1170834 1388238 1619611 1733401 2109282 3063481 3239222 3466802 4858833 5200203 6126962 9190443 9717666 10400406 12133807 18380886 21444367 22950997 24267614 36401421 42888734 45901994 64333101 68852991 72802842 105737461 128666202 137705982 160656979 190488253 211474922 317212383 321313958 380976506 481970937 571464759 634424766 740162227 963941874 1142929518 1333417771 1400010817 1480324454 2220486681 2666835542 2800021634 4000253313 4200032451 4440973362 8000506626 8400064902 9800075719 11619783433 19600151438 23239566866 29400227157 34859350299 58800454314 69718700598 81338484031 87053131621 162676968062 174106263242 244015452093 261159394863 488030904186 522318789726 609371921347 1218743842694 1828115764041 3656231528082 5310241028881 10620482057762 15930723086643 31861446173286 37171687202167 74343374404334 111515061606501 223030123213002