Search a number
-
+
113253127540 = 22572933898231
BaseRepresentation
bin110100101111001101…
…0011001010101110100
3101211022210201222102021
41221132122121111310
53323420300040130
6124005555322524
711116342462210
oct1513632312564
9354283658367
10113253127540
114403748aa73
1219b482b0444
13a8ab47a547
1456a527b940
152e2c9dc37a
hex1a5e699574

113253127540 has 96 divisors (see below), whose sum is σ = 281297318400. Its totient is φ = 37475074560.

The previous prime is 113253127531. The next prime is 113253127553. The reversal of 113253127540 is 45721352311.

It is a junction number, because it is equal to n+sod(n) for n = 113253127496 and 113253127505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13755225 + ... + 13763455.

It is an arithmetic number, because the mean of its divisors is an integer number (2930180400).

Almost surely, 2113253127540 is an apocalyptic number.

113253127540 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 113253127540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140648659200).

113253127540 is an abundant number, since it is smaller than the sum of its proper divisors (168044190860).

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

113253127540 is a wasteful number, since it uses less digits than its factorization.

113253127540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 113253127540 its reverse (45721352311), we get a palindrome (158974479851).

The spelling of 113253127540 in words is "one hundred thirteen billion, two hundred fifty-three million, one hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3389 4060 6778 8231 13556 16462 16945 23723 32924 33890 41155 47446 57617 67780 82310 94892 98281 115234 118615 164620 196562 230468 237230 238699 288085 393124 474460 477398 491405 576170 687967 954796 982810 1152340 1193495 1375934 1670893 1965620 2386990 2751868 3341786 3439835 4773980 6683572 6879670 8354465 13759340 16708930 27894859 33417860 55789718 111579436 139474295 195264013 278948590 390528026 557897180 781056052 808950911 976320065 1617901822 1952640130 3235803644 3905280260 4044754555 5662656377 8089509110 11325312754 16179018220 22650625508 28313281885 56626563770 113253127540