Search a number
-
+
10023110122230 = 23251516959105983
BaseRepresentation
bin1001000111011010111111…
…1010110001101011110110
31022111012101210000002201100
42101312233322301223312
52303204312142402410
633152315255110530
72053101004215042
oct221665772615366
938435353002640
1010023110122230
1132148603a8997
12115a667372446
13579237c9356a
1426919a4c5022
15125acdc568c0
hex91dafeb1af6

10023110122230 has 96 divisors (see below), whose sum is σ = 26236686827520. Its totient is φ = 2654721921600.

The previous prime is 10023110122229. The next prime is 10023110122231. The reversal of 10023110122230 is 3222101132001.

10023110122230 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 311 + 0 + 122 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (10023110122229) and next prime (10023110122231).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023110122231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94519819 + ... + 94625801.

It is an arithmetic number, because the mean of its divisors is an integer number (273298821120).

Almost surely, 210023110122230 is an apocalyptic number.

10023110122230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023110122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118343413760).

10023110122230 is an abundant number, since it is smaller than the sum of its proper divisors (16213576705290).

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

10023110122230 is a wasteful number, since it uses less digits than its factorization.

10023110122230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113106 (or 113103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10023110122230 its reverse (3222101132001), we get a palindrome (13245211254231).

The spelling of 10023110122230 in words is "ten trillion, twenty-three billion, one hundred ten million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 1359 1510 2265 2718 4530 6795 6959 13590 13918 20877 34795 41754 62631 69590 104385 105983 125262 208770 211966 313155 317949 529915 626310 635898 953847 1050809 1059830 1589745 1907694 2101618 3152427 3179490 4769235 5254045 6304854 9457281 9538470 10508090 15762135 16003433 18914562 31524270 32006866 47286405 48010299 80017165 94572810 96020598 144030897 160034330 240051495 288061794 480102990 720154485 737535697 1440308970 1475071394 2212607091 3687678485 4425214182 6637821273 7375356970 11063035455 13275642546 22126070910 33189106365 66378212730 111367890247 222735780494 334103670741 556839451235 668207341482 1002311012223 1113678902470 1670518353705 2004622024446 3341036707410 5011555061115 10023110122230