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23130230032 = 24713194120393
BaseRepresentation
bin10101100010101010…
…110100110100010000
32012200222121102121101
4111202222310310100
5334332314330112
614343105034144
71446121465660
oct254252646420
965628542541
1023130230032
11989a459198
124596325954
132248058560
141195d0c1a0
15905986757
hex562ab4d10

23130230032 has 160 divisors (see below), whose sum is σ = 59478693120. Its totient is φ = 8456970240.

The previous prime is 23130230027. The next prime is 23130230059. The reversal of 23130230032 is 23003203132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 23130229991 and 23130230009.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124028 + ... + 1144420.

It is an arithmetic number, because the mean of its divisors is an integer number (371741832).

Almost surely, 223130230032 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 23130230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29739346560).

23130230032 is an abundant number, since it is smaller than the sum of its proper divisors (36348463088).

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

23130230032 is a wasteful number, since it uses less digits than its factorization.

23130230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20481 (or 20475 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 23130230032 its reverse (23003203132), we get a palindrome (46133433164).

The spelling of 23130230032 in words is "twenty-three billion, one hundred thirty million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 41 52 56 76 82 91 104 112 133 152 164 182 208 247 266 287 304 328 364 494 532 533 574 656 728 779 988 1064 1066 1148 1456 1558 1729 1976 2128 2132 2296 3116 3458 3731 3952 4264 4592 5453 6232 6916 7462 8528 10127 10906 12464 13832 14924 20254 20393 21812 27664 29848 40508 40786 43624 59696 70889 81016 81572 87248 141778 142751 162032 163144 265109 283556 285502 326288 387467 530218 567112 571004 774934 836113 1060436 1134224 1142008 1549868 1672226 1855763 2120872 2284016 2712269 3099736 3344452 3711526 4241744 5037071 5424538 5852791 6199472 6688904 7423052 10074142 10849076 10869469 11705582 13377808 14846104 15886147 20148284 21698152 21738938 23411164 29692208 31772294 35259497 40296568 43396304 43477876 46822328 63544588 70518994 76086283 80593136 86955752 93644656 111203029 127089176 141037988 152172566 173911504 206519911 222406058 254178352 282075976 304345132 413039822 444812116 564151952 608690264 826079644 889624232 1217380528 1445639377 1652159288 1779248464 2891278754 3304318576 5782557508 11565115016 23130230032