Search a number
-
+
113230413200 = 245210110327211
BaseRepresentation
bin110100101110100001…
…1101111110110010000
3101211021012222222012102
41221131003233312100
53323343441210300
6124003424415532
711115645426512
oct1513503576620
9354235888172
10113230413200
1144025686393
1219b407775a8
13a8a68567c8
1456a2247bb2
152e2aa020d5
hex1a5d0efd90

113230413200 has 120 divisors (see below), whose sum is σ = 277406965056. Its totient is φ = 44406720000.

The previous prime is 113230413199. The next prime is 113230413209. The reversal of 113230413200 is 2314032311.

It is a super-2 number, since 2×1132304132002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (113230413209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4147595 + ... + 4174805.

Almost surely, 2113230413200 is an apocalyptic number.

113230413200 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 113230413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138703482528).

113230413200 is an abundant number, since it is smaller than the sum of its proper divisors (164176551856).

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

113230413200 is a wasteful number, since it uses less digits than its factorization.

113230413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27433 (or 27422 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113230413200 its reverse (2314032311), we get a palindrome (115544445511).

The spelling of 113230413200 in words is "one hundred thirteen billion, two hundred thirty million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 103 200 202 206 400 404 412 505 515 808 824 1010 1030 1616 1648 2020 2060 2525 2575 4040 4120 5050 5150 8080 8240 10100 10300 10403 20200 20600 20806 27211 40400 41200 41612 52015 54422 83224 104030 108844 136055 166448 208060 217688 260075 272110 416120 435376 520150 544220 680275 832240 1040300 1088440 1360550 2080600 2176880 2721100 2748311 2802733 4161200 5442200 5496622 5605466 10884400 10993244 11210932 13741555 14013665 21986488 22421864 27483110 28027330 43972976 44843728 54966220 56054660 68707775 70068325 109932440 112109320 137415550 140136650 219864880 224218640 274831100 280273300 283076033 549662200 560546600 566152066 1099324400 1121093200 1132304132 1415380165 2264608264 2830760330 4529216528 5661520660 7076900825 11323041320 14153801650 22646082640 28307603300 56615206600 113230413200