Search a number
-
+
10042024300 = 22527112944971
BaseRepresentation
bin10010101101000110…
…10010000101101100
3221220211211200121221
421112203102011230
5131031224234200
64340243233124
7503564540530
oct112643220554
927824750557
1010042024300
114293508540
121b430787a4
13c40612519
146b3981bc0
153db90e91a
hex2568d216c

10042024300 has 144 divisors (see below), whose sum is σ = 28105701120. Its totient is φ = 3021984000.

The previous prime is 10042024297. The next prime is 10042024309. The reversal of 10042024300 is 342024001.

It is not an unprimeable number, because it can be changed into a prime (10042024309) 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, 200815 + ... + 245785.

It is an arithmetic number, because the mean of its divisors is an integer number (195178480).

Almost surely, 210042024300 is an apocalyptic number.

10042024300 is a gapful number since it is divisible by the number (10) 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 10042024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052850560).

10042024300 is an abundant number, since it is smaller than the sum of its proper divisors (18063676820).

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

10042024300 is a wasteful number, since it uses less digits than its factorization.

10042024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45032 (or 45025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10042024300 its reverse (342024001), we get a palindrome (10384048301).

The spelling of 10042024300 in words is "ten billion, forty-two million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 140 145 154 175 203 220 275 290 308 319 350 385 406 550 580 638 700 725 770 812 1015 1100 1276 1450 1540 1595 1925 2030 2233 2900 3190 3850 4060 4466 5075 6380 7700 7975 8932 10150 11165 15950 20300 22330 31900 44660 44971 55825 89942 111650 179884 223300 224855 314797 449710 494681 629594 899420 989362 1124275 1259188 1304159 1573985 1978724 2248550 2473405 2608318 3147970 3462767 4497100 4946810 5216636 6295940 6520795 6925534 7869925 9129113 9893620 12367025 13041590 13851068 14345749 15739850 17313835 18258226 24734050 26083180 28691498 31479700 32603975 34627670 36516452 45645565 49468100 57382996 65207950 69255340 71728745 86569175 91291130 100420243 130415900 143457490 173138350 182582260 200840486 228227825 286914980 346276700 358643725 401680972 456455650 502101215 717287450 912911300 1004202430 1434574900 2008404860 2510506075 5021012150 10042024300