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113130031300 = 2252111326173023
BaseRepresentation
bin110100101011100010…
…0110100100011000100
3101211000020010001010021
41221113010310203010
53323142242000200
6123545441104524
711113316254066
oct1512704644304
9354006101107
10113130031300
1143a83a53a40
1219b13028144
13a88bb0b230
145692b97736
152e21cc441a
hex1a571348c4

113130031300 has 144 divisors (see below), whose sum is σ = 288616027392. Its totient is φ = 37946649600.

The previous prime is 113130031271. The next prime is 113130031303. The reversal of 113130031300 is 3130031311.

It is not an unprimeable number, because it can be changed into a prime (113130031303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37421589 + ... + 37424611.

It is an arithmetic number, because the mean of its divisors is an integer number (2004277968).

Almost surely, 2113130031300 is an apocalyptic number.

113130031300 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 113130031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144308013696).

113130031300 is an abundant number, since it is smaller than the sum of its proper divisors (175485996092).

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

113130031300 is a wasteful number, since it uses less digits than its factorization.

113130031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 113130031300 its reverse (3130031311), we get a palindrome (116260062611).

The spelling of 113130031300 in words is "one hundred thirteen billion, one hundred thirty million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2617 2860 3023 3575 5234 6046 7150 10468 12092 13085 14300 15115 26170 28787 30230 33253 34021 39299 52340 57574 60460 65425 66506 68042 75575 78598 115148 130850 133012 136084 143935 151150 157196 166265 170105 196495 261700 287870 302300 332530 340210 374231 392990 432289 575740 665060 680420 719675 748462 785980 831325 850525 864578 982475 1439350 1496924 1662650 1701050 1729156 1871155 1964950 2161445 2878700 3325300 3402100 3742310 3929900 4322890 7484620 7911191 8645780 9355775 10807225 15822382 18711550 21614450 31644764 37423100 39555955 43228900 79111910 87023101 102845483 158223820 174046202 197779775 205690966 348092404 395559550 411381932 435115505 514227415 791119100 870231010 1028454830 1131300313 1740462020 2056909660 2175577525 2262600626 2571137075 4351155050 4525201252 5142274150 5656501565 8702310100 10284548300 11313003130 22626006260 28282507825 56565015650 113130031300