Search a number
-
+
113024242320 = 24351142812213
BaseRepresentation
bin110100101000011000…
…1010001001010010000
3101210201212001101220220
41221100301101022100
53322433201223240
6123531141433040
711110563131313
oct1512061211220
9353655041826
10113024242320
1143a2a269130
1219aa370b780
13a872c1b7c2
145682ada97a
152e178795d0
hex1a50c51290

113024242320 has 80 divisors (see below), whose sum is σ = 382227446592. Its totient is φ = 27399815680.

The previous prime is 113024242307. The next prime is 113024242321. The reversal of 113024242320 is 23242420311.

It is a happy number.

113024242320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113024242321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21403467 + ... + 21408746.

Almost surely, 2113024242320 is an apocalyptic number.

113024242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113024242320 is an abundant number, since it is smaller than the sum of its proper divisors (269203204272).

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

113024242320 is a wasteful number, since it uses less digits than its factorization.

113024242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42812240 (or 42812234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 113024242320 its reverse (23242420311), we get a palindrome (136266662631).

The spelling of 113024242320 in words is "one hundred thirteen billion, twenty-four million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 42812213 85624426 128436639 171248852 214061065 256873278 342497704 428122130 470934343 513746556 642183195 684995408 856244260 941868686 1027493112 1284366390 1412803029 1712488520 1883737372 2054986224 2354671715 2568732780 2825606058 3424977040 3767474744 4709343430 5137465560 5651212116 7064015145 7534949488 9418686860 10274931120 11302424232 14128030290 18837373720 22604848464 28256060580 37674747440 56512121160 113024242320