Search a number
-
+
113020024300 = 225223139467757
BaseRepresentation
bin110100101000010000…
…1001011010111101100
3101210201120010002212221
41221100201023113230
53322431111234200
6123530511205124
711110512233011
oct1512041132754
9353646102787
10113020024300
1143a27948067
1219aa22167a4
13a8720a2931
14568231d708
152e172e491a
hex1a5084b5ec

113020024300 has 144 divisors (see below), whose sum is σ = 258650945280. Its totient is φ = 42782826240.

The previous prime is 113020024261. The next prime is 113020024307. The reversal of 113020024300 is 3420020311.

It is a happy number.

113020024300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (113020024307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149299522 + ... + 149300278.

It is an arithmetic number, because the mean of its divisors is an integer number (1796187120).

Almost surely, 2113020024300 is an apocalyptic number.

113020024300 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 113020024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129325472640).

113020024300 is an abundant number, since it is smaller than the sum of its proper divisors (145630920980).

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

113020024300 is a wasteful number, since it uses less digits than its factorization.

113020024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 113020024300 its reverse (3420020311), we get a palindrome (116440044611).

The spelling of 113020024300 in words is "one hundred thirteen billion, twenty million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 139 230 278 460 467 556 575 695 757 934 1150 1390 1514 1868 2300 2335 2780 3028 3197 3475 3785 4670 6394 6950 7570 9340 10741 11675 12788 13900 15140 15985 17411 18925 21482 23350 31970 34822 37850 42964 46700 53705 63940 64913 69644 75700 79925 87055 105223 107410 129826 159850 174110 210446 214820 259652 268525 319700 324565 348220 353519 420892 435275 526115 537050 649130 707038 870550 1052230 1074100 1298260 1414076 1492999 1622825 1741100 1767595 2104460 2420129 2630575 2985998 3245650 3535190 4840258 5261150 5971996 6491300 7070380 7464995 8130937 8837975 9680516 10522300 12100645 14929990 16261874 17675950 24201290 29859980 32523748 35351900 37324975 40654685 48402580 49139141 60503225 74649950 81309370 98278282 121006450 149299900 162618740 196556564 203273425 242012900 245695705 406546850 491391410 813093700 982782820 1130200243 1228478525 2260400486 2456957050 4520800972 4913914100 5651001215 11302002430 22604004860 28255006075 56510012150 113020024300