Search a number
-
+
10230123033024 = 263475871931273
BaseRepresentation
bin1001010011011110001011…
…0110010111000111000000
31100012222201212022120021120
42110313202312113013000
52320102242444024044
633431353104152240
72104046662013106
oct224674266270700
940188655276246
1010230123033024
113294630831834
1211927bb608680
1359290918909b
142751d7b23c76
1512b197be5519
hex94de2d971c0

10230123033024 has 112 divisors (see below), whose sum is σ = 27690204907008. Its totient is φ = 3331799554048.

The previous prime is 10230123033019. The next prime is 10230123033181. The reversal of 10230123033024 is 42033032103201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10230123032985 and 10230123033003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4331452 + ... + 6262724.

It is an arithmetic number, because the mean of its divisors is an integer number (247233972384).

Almost surely, 210230123033024 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 10230123033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845102453504).

10230123033024 is an abundant number, since it is smaller than the sum of its proper divisors (17460081873984).

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

10230123033024 is a wasteful number, since it uses less digits than its factorization.

10230123033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931922 (or 1931912 counting only the distinct ones).

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

Adding to 10230123033024 its reverse (42033032103201), we get a palindrome (52263155136225).

The spelling of 10230123033024 in words is "ten trillion, two hundred thirty billion, one hundred twenty-three million, thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 587 752 1128 1174 1504 1761 2256 2348 3008 3522 4512 4696 7044 9024 9392 14088 18784 27589 28176 37568 55178 56352 82767 110356 112704 165534 220712 331068 441424 662136 882848 1324272 1765696 1931273 2648544 3862546 5297088 5793819 7725092 11587638 15450184 23175276 30900368 46350552 61800736 90769831 92701104 123601472 181539662 185402208 272309493 363079324 370804416 544618986 726158648 1089237972 1133657251 1452317296 2178475944 2267314502 2904634592 3400971753 4356951888 4534629004 5809269184 6801943506 8713903776 9069258008 13603887012 17427807552 18138516016 27207774024 36277032032 53281890797 54415548048 72554064064 106563781594 108831096096 159845672391 213127563188 217662192192 319691344782 426255126376 639382689564 852510252752 1278765379128 1705020505504 2557530758256 3410041011008 5115061516512 10230123033024