Search a number
-
+
113355135520 = 25511166338729
BaseRepresentation
bin110100110010001111…
…1100001101000100000
3101211120220200112001121
41221210133201220200
53324122403314040
6124024041542024
711122021516444
oct1514437415040
9354526615047
10113355135520
114408a023090
1219b764a4914
13a8c6644cb3
1456b4a32824
152e3693bc4a
hex1a647e1a20

113355135520 has 96 divisors (see below), whose sum is σ = 292330321920. Its totient is φ = 41194199040.

The previous prime is 113355135511. The next prime is 113355135529. The reversal of 113355135520 is 25531553311.

It is an interprime number because it is at equal distance from previous prime (113355135511) and next prime (113355135529).

It is not an unprimeable number, because it can be changed into a prime (113355135529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2907516 + ... + 2946244.

It is an arithmetic number, because the mean of its divisors is an integer number (3045107520).

Almost surely, 2113355135520 is an apocalyptic number.

113355135520 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 113355135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146165160960).

113355135520 is an abundant number, since it is smaller than the sum of its proper divisors (178975186400).

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

113355135520 is a wasteful number, since it uses less digits than its factorization.

113355135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40418 (or 40410 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 34.

Adding to 113355135520 its reverse (25531553311), we get a palindrome (138886688831).

The spelling of 113355135520 in words is "one hundred thirteen billion, three hundred fifty-five million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1663 1760 3326 6652 8315 13304 16630 18293 26608 33260 36586 38729 53216 66520 73172 77458 91465 133040 146344 154916 182930 193645 266080 292688 309832 365860 387290 426019 585376 619664 731720 774580 852038 1239328 1463440 1549160 1704076 2130095 2926880 3098320 3408152 4260190 6196640 6816304 8520380 13632608 17040760 34081520 64406327 68163040 128812654 257625308 322031635 515250616 644063270 708469597 1030501232 1288126540 1416939194 2061002464 2576253080 2833878388 3542347985 5152506160 5667756776 7084695970 10305012320 11335513552 14169391940 22671027104 28338783880 56677567760 113355135520