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113134010444 = 227213307144629
BaseRepresentation
bin110100101011101010…
…0000000000001001100
3101211000111121012110222
41221113110000001030
53323144301313234
6123550102250512
711113365136100
oct1512724000114
9354014535428
10113134010444
1143a86221594
1219b14426a38
13a88c8a2460
145693511900
152e2230d42e
hex1a5750004c

113134010444 has 72 divisors (see below), whose sum is σ = 248834179440. Its totient is φ = 44610217344.

The previous prime is 113134010441. The next prime is 113134010471. The reversal of 113134010444 is 444010431311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (113134010441) 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 23 ways as a sum of consecutive naturals, for example, 709922 + ... + 854550.

It is an arithmetic number, because the mean of its divisors is an integer number (3456030270).

Almost surely, 2113134010444 is an apocalyptic number.

113134010444 is a gapful number since it is divisible by the number (14) 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 113134010444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124417089720).

113134010444 is an abundant number, since it is smaller than the sum of its proper divisors (135700168996).

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

113134010444 is a wasteful number, since it uses less digits than its factorization.

113134010444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144967 (or 144958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 113134010444 its reverse (444010431311), we get a palindrome (557144441755).

The spelling of 113134010444 in words is "one hundred thirteen billion, one hundred thirty-four million, ten thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 307 364 614 637 1228 1274 2149 2548 3991 4298 7982 8596 15043 15964 27937 30086 55874 60172 111748 144629 195559 289258 391118 578516 782236 1012403 1880177 2024806 3760354 4049612 7086821 7520708 13161239 14173642 26322478 28347284 44401103 52644956 88802206 92128673 177604412 184257346 310807721 368514692 577214339 621615442 1154428678 1243230884 2175654047 2308857356 4040500373 4351308094 8081000746 8702616188 16162001492 28283502611 56567005222 113134010444