Search a number
-
+
113043144132 = 2235449259019
BaseRepresentation
bin110100101000111100…
…1010111110111000100
3101210210011121201100000
41221101321113313010
53323003021103012
6123533054521300
711111212604532
oct1512171276704
9353704551300
10113043144132
1143a399a9366
1219aa9b06230
13a876b090c9
14568541b152
152e1935eddc
hex1a51e57dc4

113043144132 has 72 divisors (see below), whose sum is σ = 296992332000. Its totient is φ = 37596980736.

The previous prime is 113043144131. The next prime is 113043144139. The reversal of 113043144132 is 231441340311.

113043144132 is a `hidden beast` number, since 1 + 1 + 304 + 314 + 41 + 3 + 2 = 666.

It is a super-3 number, since 3×1130431441323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113043144096 and 113043144105.

It is not an unprimeable number, because it can be changed into a prime (113043144131) 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, 306919 + ... + 565937.

It is an arithmetic number, because the mean of its divisors is an integer number (4124893500).

Almost surely, 2113043144132 is an apocalyptic number.

113043144132 is a gapful number since it is divisible by the number (12) 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 113043144132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148496166000).

113043144132 is an abundant number, since it is smaller than the sum of its proper divisors (183949187868).

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

113043144132 is a wasteful number, since it uses less digits than its factorization.

113043144132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259487 (or 259473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113043144132 its reverse (231441340311), we get a palindrome (344484484443).

The spelling of 113043144132 in words is "one hundred thirteen billion, forty-three million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 449 486 898 972 1347 1796 2694 4041 5388 8082 12123 16164 24246 36369 48492 72738 109107 145476 218214 259019 436428 518038 777057 1036076 1554114 2331171 3108228 4662342 6993513 9324684 13987026 20980539 27974052 41961078 62941617 83922156 116299531 125883234 232599062 251766468 348898593 465198124 697797186 1046695779 1395594372 2093391558 3140087337 4186783116 6280174674 9420262011 12560349348 18840524022 28260786033 37681048044 56521572066 113043144132