Search a number
-
+
113300330333100 = 223521275081585271
BaseRepresentation
bin11001110000101111001001…
…111100010100001110101100
3112212011101221211022202010120
4121300233021330110032230
5104322303034031124400
61040545241520404540
732602451543502501
oct3160571174241654
9485141854282116
10113300330333100
1133112444815329
121085a443476750
134b2b2381bb521
141dd9a9dba74a8
15d17305616ca0
hex670bc9f143ac

113300330333100 has 144 divisors (see below), whose sum is σ = 330462438383616. Its totient is φ = 29969569728000.

The previous prime is 113300330333081. The next prime is 113300330333117. The reversal of 113300330333100 is 1333033003311.

It is a super-2 number, since 2×1133003303331002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193293465 + ... + 193878735.

Almost surely, 2113300330333100 is an apocalyptic number.

113300330333100 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 113300330333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165231219191808).

113300330333100 is an abundant number, since it is smaller than the sum of its proper divisors (217162108050516).

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

113300330333100 is a wasteful number, since it uses less digits than its factorization.

113300330333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590496 (or 590489 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 113300330333100 its reverse (1333033003311), we get a palindrome (114633363336411).

The spelling of 113300330333100 in words is "one hundred thirteen trillion, three hundred billion, three hundred thirty million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 5081 6350 7620 9525 10162 12700 15243 19050 20324 25405 30486 38100 50810 60972 76215 101620 127025 152430 254050 304860 381075 508100 585271 645287 762150 1170542 1290574 1524300 1755813 1935861 2341084 2581148 2926355 3226435 3511626 3871722 5852710 6452870 7023252 7743444 8779065 9679305 11705420 12905740 14631775 16132175 17558130 19358610 29263550 32264350 35116260 38717220 43895325 48396525 58527100 64528700 74329417 87790650 96793050 148658834 175581300 193586100 222988251 297317668 371647085 445976502 743294170 891953004 1114941255 1486588340 1858235425 2229882510 2973761951 3716470850 4459765020 5574706275 5947523902 7432941700 8921285853 11149412550 11895047804 14868809755 17842571706 22298825100 29737619510 35685143412 44606429265 59475239020 74344048775 89212858530 148688097550 178425717060 223032146325 297376195100 377667767777 446064292650 755335535554 892128585300 1133003303331 1510671071108 1888338838885 2266006606662 3776677677770 4532013213324 5665016516655 7553355355540 9441694194425 11330033033310 18883388388850 22660066066620 28325082583275 37766776777700 56650165166550 113300330333100