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133011130201300 = 225213222934368913
BaseRepresentation
bin11110001111100100010001…
…001010101011010011010100
3122102221201222100201101001201
4132033210101022223103110
5114413223243312420200
61150520245240202244
740005510542131201
oct3617442112532324
9572851870641051
10133011130201300
113942178145097a
1212b02546469384
13592ab84c98a00
1424bbab7378ca8
151059dd0ee9c6a
hex78f9112ab4d4

133011130201300 has 108 divisors (see below), whose sum is σ = 313909507086420. Its totient is φ = 48897338480640.

The previous prime is 133011130201267. The next prime is 133011130201321. The reversal of 133011130201300 is 3102031110331.

It can be written as a sum of positive squares in 18 ways, for example, as 76788696823056 + 56222433378244 = 8762916^2 + 7498162^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13314357 + ... + 21054556.

Almost surely, 2133011130201300 is an apocalyptic number.

133011130201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133011130201300 is an abundant number, since it is smaller than the sum of its proper divisors (180898376885120).

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

133011130201300 is a wasteful number, since it uses less digits than its factorization.

133011130201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34369182 (or 34369162 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 133011130201300 its reverse (3102031110331), we get a palindrome (136113161311631).

The spelling of 133011130201300 in words is "one hundred thirty-three trillion, eleven billion, one hundred thirty million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 229 260 325 338 458 650 676 845 916 1145 1300 1690 2290 2977 3380 4225 4580 5725 5954 8450 11450 11908 14885 16900 22900 29770 38701 59540 74425 77402 148850 154804 193505 297700 387010 774020 967525 1935050 3870100 34368913 68737826 137475652 171844565 343689130 446795869 687378260 859222825 893591738 1718445650 1787183476 2233979345 3436891300 4467958690 5808346297 7870481077 8935917380 11169896725 11616692594 15740962154 22339793450 23233385188 29041731485 31481924308 39352405385 44679586900 58083462970 78704810770 102316254001 116166925940 145208657425 157409621540 196762026925 204632508002 290417314850 393524053850 409265016004 511581270005 580834629700 787048107700 1023162540010 1330111302013 2046325080020 2557906350025 2660222604026 5115812700050 5320445208052 6650556510065 10231625400100 13301113020130 26602226040260 33252782550325 66505565100650 133011130201300