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133330300315300 = 2252111031975973553
BaseRepresentation
bin11110010100001101100001…
…001100000010011010100100
3122111002020210212121002111001
4132110031201030002122210
5114433440423340042200
61151323032215323044
740040540064261664
oct3624154114023244
9574066725532431
10133330300315300
11395350766835a0
1212b5437b980484
135951cbb58722a
1424cd3144981a4
15106336164776a
hex7943613026a4

133330300315300 has 144 divisors (see below), whose sum is σ = 320311332012672. Its totient is φ = 47769300633600.

The previous prime is 133330300315283. The next prime is 133330300315307. The reversal of 133330300315300 is 3513003033331.

It is not an unprimeable number, because it can be changed into a prime (133330300315307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19333324 + ... + 25306876.

It is an arithmetic number, because the mean of its divisors is an integer number (2224384250088).

Almost surely, 2133330300315300 is an apocalyptic number.

133330300315300 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 133330300315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160155666006336).

133330300315300 is an abundant number, since it is smaller than the sum of its proper divisors (186981031697372).

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

133330300315300 is a wasteful number, since it uses less digits than its factorization.

133330300315300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973878 (or 5973871 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 28.

Adding to 133330300315300 its reverse (3513003033331), we get a palindrome (136843303348631).

The spelling of 133330300315300 in words is "one hundred thirty-three trillion, three hundred thirty billion, three hundred million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 197 206 220 275 394 412 515 550 788 985 1030 1100 1133 1970 2060 2167 2266 2575 3940 4334 4532 4925 5150 5665 8668 9850 10300 10835 11330 19700 20291 21670 22660 28325 40582 43340 54175 56650 81164 101455 108350 113300 202910 216700 223201 405820 446402 507275 892804 1014550 1116005 2029100 2232010 4464020 5580025 5973553 11160050 11947106 22320100 23894212 29867765 59735530 65709083 119471060 131418166 149338825 262836332 298677650 328545415 597355300 615275959 657090830 1176789941 1230551918 1314181660 1642727075 2353579882 2461103836 3076379795 3285454150 4707159764 5883949705 6152759590 6570908300 6768035549 11767899410 12305519180 12944689351 13536071098 15381898975 23535798820 25889378702 27072142196 29419748525 30763797950 33840177745 51778757404 58839497050 61527595900 64723446755 67680355490 117678994100 121209363923 129446893510 135360710980 169200888725 242418727846 258893787020 323617233775 338401777450 484837455692 606046819615 647234467550 676803554900 1212093639230 1294468935100 1333303003153 2424187278460 2666606006306 3030234098075 5333212012612 6060468196150 6666515015765 12120936392300 13333030031530 26666060063060 33332575078825 66665150157650 133330300315300