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113331301320 = 23355367265961
BaseRepresentation
bin110100110001100010…
…0100110101111001000
3101211112020211121200110
41221203010212233020
53324100303120240
6124021431034320
711121312111126
oct1514304465710
9354466747613
10113331301320
11440776240a6
1219b6a50b9a0
13a8c171b613
1456b17ca916
152e347cec80
hex1a63126bc8

113331301320 has 128 divisors (see below), whose sum is σ = 351580487040. Its totient is φ = 29208791040.

The previous prime is 113331301297. The next prime is 113331301333. The reversal of 113331301320 is 23103133311.

It is a super-3 number, since 3×1133313013203 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293140 + ... + 559100.

It is an arithmetic number, because the mean of its divisors is an integer number (2746722555).

Almost surely, 2113331301320 is an apocalyptic number.

113331301320 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 113331301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175790243520).

113331301320 is an abundant number, since it is smaller than the sum of its proper divisors (238249185720).

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

113331301320 is a wasteful number, since it uses less digits than its factorization.

113331301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266095 (or 266091 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 113331301320 its reverse (23103133311), we get a palindrome (136434434631).

The spelling of 113331301320 in words is "one hundred thirteen billion, three hundred thirty-one million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 67 106 120 134 159 201 212 265 268 318 335 402 424 530 536 636 670 795 804 1005 1060 1272 1340 1590 1608 2010 2120 2680 3180 3551 4020 6360 7102 8040 10653 14204 17755 21306 28408 35510 42612 53265 71020 85224 106530 142040 213060 265961 426120 531922 797883 1063844 1329805 1595766 2127688 2659610 3191532 3989415 5319220 6383064 7978830 10638440 14095933 15957660 17819387 28191866 31915320 35638774 42287799 53458161 56383732 70479665 71277548 84575598 89096935 106916322 112767464 140959330 142555096 169151196 178193870 211438995 213832644 267290805 281918660 338302392 356387740 422877990 427665288 534581610 563837320 712775480 845755980 944427511 1069163220 1691511960 1888855022 2138326440 2833282533 3777710044 4722137555 5666565066 7555420088 9444275110 11333130132 14166412665 18888550220 22666260264 28332825330 37777100440 56665650660 113331301320