Search a number
-
+
133000301200312 = 237131944921415159
BaseRepresentation
bin11110001111011010001011…
…101101010100001110111000
3122102220201000200001010101001
4132033122023231110032320
5114413034104101402222
61150511254521134344
740004645310134560
oct3617321355241670
9572821020033331
10133000301200312
1139418124798187
1212b0042392a3b4
135929b4a613310
1424bb36b09bda0
15105999a486e27
hex78f68bb543b8

133000301200312 has 128 divisors (see below), whose sum is σ = 323797219200000. Its totient is φ = 49735248224256.

The previous prime is 133000301200279. The next prime is 133000301200373. The reversal of 133000301200312 is 213002103000331.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 133000301200312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4497012 + ... + 16918147.

It is an arithmetic number, because the mean of its divisors is an integer number (2529665775000).

Almost surely, 2133000301200312 is an apocalyptic number.

It is an amenable number.

133000301200312 is an abundant number, since it is smaller than the sum of its proper divisors (190796917999688).

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

133000301200312 is a wasteful number, since it uses less digits than its factorization.

133000301200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21415653 (or 21415649 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 133000301200312 its reverse (213002103000331), we get a palindrome (346002404200643).

The spelling of 133000301200312 in words is "one hundred thirty-three trillion, three hundred one million, two hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 449 494 532 728 898 988 1064 1729 1796 1976 3143 3458 3592 5837 6286 6916 8531 11674 12572 13832 17062 23348 25144 34124 40859 46696 59717 68248 81718 110903 119434 163436 221806 238868 326872 443612 477736 776321 887224 1552642 3105284 6210568 21415159 42830318 85660636 149906113 171321272 278397067 299812226 406888021 556794134 599624452 813776042 1113588268 1199248904 1627552084 1948779469 2227176536 2848216147 3255104168 3897558938 5289544273 5696432294 7795117876 9615406391 10579088546 11392864588 15590235752 19230812782 21158177092 22785729176 37026809911 38461625564 42316354184 67307844737 74053619822 76923251128 125000283083 134615689474 148107239644 182692721429 250000566166 269231378948 296214479288 365385442858 500001132332 538462757896 730770885716 875001981581 1000002264664 1278849050003 1461541771432 1750003963162 2375005378577 2557698100006 3500007926324 4750010757154 5115396200012 7000015852648 9500021514308 10230792400024 16625037650039 19000043028616 33250075300078 66500150600156 133000301200312