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133202101021020 = 223253141582227909
BaseRepresentation
bin11110010010010110000111…
…111010100010100101011100
3122110121222220110000011201200
4132102112013322202211130
5114424340400330133040
61151144111143435500
740025351144251353
oct3622260772424534
9573558813004650
10133202101021020
113949576a500309
1212b33562155b90
135942b9a78ba55
1424c703220a99a
15105ed5b92b630
hex792587ea295c

133202101021020 has 144 divisors (see below), whose sum is σ = 427252813827840. Its totient is φ = 33536327500800.

The previous prime is 133202101021007. The next prime is 133202101021039. The reversal of 133202101021020 is 20120101202331.

133202101021020 is a `hidden beast` number, since 1 + 3 + 320 + 210 + 102 + 10 + 20 = 666.

133202101021020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133202101020984 and 133202101021002.

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, 290885175 + ... + 291342734.

It is an arithmetic number, because the mean of its divisors is an integer number (2967033429360).

Almost surely, 2133202101021020 is an apocalyptic number.

133202101021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133202101021020 is an abundant number, since it is smaller than the sum of its proper divisors (294050712806820).

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

133202101021020 is a wasteful number, since it uses less digits than its factorization.

133202101021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582227996 (or 582227991 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133202101021020 its reverse (20120101202331), we get a palindrome (153322202223351).

The spelling of 133202101021020 in words is "one hundred thirty-three trillion, two hundred two billion, one hundred one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 615 620 738 820 930 1116 1230 1271 1395 1476 1845 1860 2460 2542 2790 3690 3813 5084 5580 6355 7380 7626 11439 12710 15252 19065 22878 25420 38130 45756 57195 76260 114390 228780 582227909 1164455818 1746683727 2328911636 2911139545 3493367454 5240051181 5822279090 6986734908 8733418635 10480102362 11644558180 17466837270 18049065179 20960204724 23871344269 26200255905 34933674540 36098130358 47742688538 52400511810 54147195537 71614032807 72196260716 90245325895 95485377076 104801023620 108294391074 119356721345 143228065614 162441586611 180490651790 214842098421 216588782148 238713442690 270735977685 286456131228 324883173222 358070164035 360981303580 429684196842 477426885380 541471955370 649766346444 716140328070 740011672339 812207933055 859368393684 1074210492105 1082943910740 1432280656140 1480023344678 1624415866110 2148420984210 2220035017017 2960046689356 3248831732220 3700058361695 4296841968420 4440070034034 6660105051051 7400116723390 8880140068068 11100175085085 13320210102102 14800233446780 22200350170170 26640420204204 33300525255255 44400700340340 66601050510510 133202101021020