Search a number
-
+
113023012230 = 23452310395839
BaseRepresentation
bin110100101000010110…
…0100100110110000110
3101210201202201220120000
41221100230210312012
53322432342342410
6123531055222130
711110546516122
oct1512054446606
9353652656500
10113023012230
1143a295a8a27
1219aa3217946
13a8728aa93b
14568289a582
152e176d4dc0
hex1a50b24d86

113023012230 has 160 divisors (see below), whose sum is σ = 317479219200. Its totient is φ = 28796378688.

The previous prime is 113023012187. The next prime is 113023012231. The reversal of 113023012230 is 32210320311.

113023012230 is a `hidden beast` number, since 1 + 130 + 2 + 301 + 2 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113023012231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19353651 + ... + 19359489.

It is an arithmetic number, because the mean of its divisors is an integer number (1984245120).

Almost surely, 2113023012230 is an apocalyptic number.

113023012230 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 113023012230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739609600).

113023012230 is an abundant number, since it is smaller than the sum of its proper divisors (204456206970).

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

113023012230 is a wasteful number, since it uses less digits than its factorization.

113023012230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113023012230 its reverse (32210320311), we get a palindrome (145233332541).

The spelling of 113023012230 in words is "one hundred thirteen billion, twenty-three million, twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 810 1035 1039 1242 1863 2070 2078 3105 3117 3726 5195 5839 6210 6234 9315 9351 10390 11678 15585 17517 18630 18702 23897 28053 29195 31170 35034 46755 47794 52551 56106 58390 71691 84159 87585 93510 105102 119485 134297 140265 143382 157653 168318 175170 215073 238970 262755 268594 280530 315306 358455 402891 420795 430146 472959 525510 645219 671485 716910 788265 805782 841590 945918 1075365 1208673 1290438 1342970 1576530 1935657 2014455 2150730 2364795 2417346 3226095 3626019 3871314 4028910 4729590 6043365 6066721 6452190 7252038 9678285 10878057 12086730 12133442 18130095 18200163 19356570 21756114 30333605 36260190 36400326 54390285 54600489 60667210 91000815 108780570 109200978 139534583 163801467 182001630 273002445 279069166 327602934 418603749 491404401 546004890 697672915 819007335 837207498 982808802 1255811247 1395345830 1638014670 2093018745 2457022005 2511622494 3767433741 4186037490 4914044010 6279056235 7534867482 11302301223 12558112470 18837168705 22604602446 37674337410 56511506115 113023012230