Search a number
-
+
113322426152 = 23135323388237
BaseRepresentation
bin110100110001010001…
…0101111111100101000
3101211111122010201020112
41221202202233330220
53324041020114102
6124020512513452
711121143505035
oct1514242577450
9354448121215
10113322426152
1144072612051
1219b6754b888
13a8bc931a40
1456b055a38c
152e33b2a252
hex1a628aff28

113322426152 has 64 divisors (see below), whose sum is σ = 234144827280. Its totient is φ = 51094996992.

The previous prime is 113322426097. The next prime is 113322426157. The reversal of 113322426152 is 251624223311.

It can be written as a sum of positive squares in 8 ways, for example, as 26064810916 + 87257615236 = 161446^2 + 295394^2 .

It is not an unprimeable number, because it can be changed into a prime (113322426157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240178 + ... + 1328414.

Almost surely, 2113322426152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113322426152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117072413640).

113322426152 is an abundant number, since it is smaller than the sum of its proper divisors (120822401128).

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

113322426152 is a wasteful number, since it uses less digits than its factorization.

113322426152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88542 (or 88538 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

Adding to 113322426152 its reverse (251624223311), we get a palindrome (364946649463).

The spelling of 113322426152 in words is "one hundred thirteen billion, three hundred twenty-two million, four hundred twenty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 233 424 466 689 932 1378 1864 2756 3029 5512 6058 12116 12349 24232 24698 49396 88237 98792 160537 176474 321074 352948 642148 705896 1147081 1284296 2294162 4588324 4676561 9176648 9353122 18706244 20559221 37412488 41118442 60795293 82236884 121590586 164473768 243181172 267269873 486362344 534539746 1069079492 1089638713 2138158984 2179277426 4358554852 8717109704 14165303269 28330606538 56661213076 113322426152