Search a number
-
+
230321666123032 = 231121217874122367
BaseRepresentation
bin110100010111100111110001…
…000101111110010100011000
31010012111112110220212221011211
4310113213301011332110120
5220142042233011414112
62133504151314032504
766341122411652011
oct6427476105762430
91105445426787154
10230321666123032
1167429963064600
12219b9a6bb78734
139b6931714c373
1440c38b17c2008
151b962dd6a40a7
hexd179f117e518

230321666123032 has 96 divisors (see below), whose sum is σ = 475147167384960. Its totient is φ = 104588998553600.

The previous prime is 230321666122993. The next prime is 230321666123083.

230321666123032 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10297376313 + ... + 10297398679.

It is an arithmetic number, because the mean of its divisors is an integer number (4949449660260).

Almost surely, 2230321666123032 is an apocalyptic number.

230321666123032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230321666123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237573583692480).

230321666123032 is an abundant number, since it is smaller than the sum of its proper divisors (244825501261928).

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

230321666123032 is a wasteful number, since it uses less digits than its factorization.

230321666123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32353 (or 32338 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 40.

The spelling of 230321666123032 in words is "two hundred thirty trillion, three hundred twenty-one billion, six hundred sixty-six million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1217 2434 4868 8741 9736 13387 17482 22367 26774 34964 44734 53548 69928 89468 96151 107096 147257 178936 192302 246037 294514 384604 492074 589028 769208 984148 1057661 1178056 1968296 2115322 2706407 4230644 5412814 8461288 10637797 10825628 21275594 21651256 27220639 42551188 54441278 85102376 108882556 117015767 195509947 217765112 234031534 299427029 391019894 468063068 598854058 782039788 936126136 1197708116 1287173437 1564079576 2150609417 2395416232 2574346874 3293697319 4301218834 5148693748 6587394638 8602437668 10297387496 13174789276 17204875336 23656703587 26349578552 47313407174 94626814348 189253628696 237935605499 475871210998 951742421996 1903484843992 2617291660489 5234583320978 10469166641956 20938333283912 28790208265379 57580416530758 115160833061516 230321666123032