Search a number
-
+
133202223110100 = 223521997539341227
BaseRepresentation
bin11110010010010110001111…
…001100010001011111010100
3122110122000012221201221110110
4132102112033030101133110
5114424341123104010400
61151144131224323020
740025354156063244
oct3622261714213724
9573560187657413
10133202223110100
1139495822409681
1212b33597013470
135942bb9b67801
1424c704450bb24
15105ed674e5e50
hex79258f3117d4

133202223110100 has 144 divisors (see below), whose sum is σ = 385672274019648. Its totient is φ = 35495361730560.

The previous prime is 133202223110029. The next prime is 133202223110171. The reversal of 133202223110100 is 1011322202331.

It is an interprime number because it is at equal distance from previous prime (133202223110029) and next prime (133202223110171).

It is a congruent number.

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, 3230925687 + ... + 3230966913.

It is an arithmetic number, because the mean of its divisors is an integer number (2678279680692).

Almost surely, 2133202223110100 is an apocalyptic number.

133202223110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133202223110100 is an abundant number, since it is smaller than the sum of its proper divisors (252470050909548).

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

133202223110100 is a wasteful number, since it uses less digits than its factorization.

133202223110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48634 (or 48627 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133202223110100 its reverse (1011322202331), we get a palindrome (134213545312431).

The spelling of 133202223110100 in words is "one hundred thirty-three trillion, two hundred two billion, two hundred twenty-three million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1997 3994 5393 5991 7988 9985 10786 11982 16179 19970 21572 23964 26965 29955 32358 39940 41227 49925 53930 59910 64716 80895 82454 99850 107860 119820 123681 134825 149775 161790 164908 199700 206135 247362 269650 299550 323580 404475 412270 494724 539300 599100 618405 808950 824540 1030675 1236810 1617900 2061350 2473620 3092025 4122700 6184050 10769821 12368100 21539642 32309463 43079284 53849105 64618926 82330319 107698210 129237852 161547315 164660638 215396420 222337211 246990957 269245525 323094630 329321276 411651595 444674422 493981914 538491050 646189260 667011633 807736575 823303190 889348844 987963828 1076982100 1111686055 1234954785 1334023266 1615473150 1646606380 2058257975 2223372110 2469909570 2668046532 3230946300 3335058165 4116515950 4446744220 4939819140 5558430275 6174773925 6670116330 8233031900 11116860550 12349547850 13340232660 16675290825 22233721100 24699095700 33350581650 66701163300 444007410367 888014820734 1332022231101 1776029641468 2220037051835 2664044462202 4440074103670 5328088924404 6660111155505 8880148207340 11100185259175 13320222311010 22200370518350 26640444622020 33300555777525 44400741036700 66601111555050 133202223110100