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133321312212030 = 232516357115915979
BaseRepresentation
bin11110010100000101001001…
…011101001001010000111110
3122111001101121110220010201100
4132110011021131021100332
5114433314021411241110
61151314544301153530
740040101254540165
oct3624051135112076
9574041543803640
10133321312212030
1139531284078578
1212b5269185b8a6
1359511b8410c27
1424ccb0089c3dc
151062ed751abc0
hex79414974943e

133321312212030 has 96 divisors (see below), whose sum is σ = 349372822930560. Its totient is φ = 35272353804480.

The previous prime is 133321312212019. The next prime is 133321312212059. The reversal of 133321312212030 is 30212213123331.

133321312212030 is a `hidden beast` number, since 1 + 3 + 3 + 321 + 312 + 2 + 1 + 20 + 3 + 0 = 666.

It is a super-2 number, since 2×1333213122120302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133321312211985 and 133321312212003.

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, 418581 + ... + 16334559.

It is an arithmetic number, because the mean of its divisors is an integer number (3639300238860).

Almost surely, 2133321312212030 is an apocalyptic number.

133321312212030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133321312212030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174686411465280).

133321312212030 is an abundant number, since it is smaller than the sum of its proper divisors (216051510718530).

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

133321312212030 is a wasteful number, since it uses less digits than its factorization.

133321312212030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15916726 (or 15916723 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133321312212030 its reverse (30212213123331), we get a palindrome (163533525335361).

The spelling of 133321312212030 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, three hundred twelve million, two hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 571 815 978 1142 1467 1630 1713 2445 2855 2934 3426 4890 5139 5710 7335 8565 10278 14670 17130 25695 51390 93073 186146 279219 465365 558438 837657 930730 1396095 1675314 2792190 4188285 8376570 15915979 31831958 47747937 79579895 95495874 143243811 159159790 238739685 286487622 477479370 716219055 1432438110 2594304577 5188609154 7782913731 9088024009 12971522885 15565827462 18176048018 23348741193 25943045770 27264072027 38914568655 45440120045 46697482386 54528144054 77829137310 81792216081 90880240090 116743705965 136320360135 163584432162 233487411930 272640720270 408961080405 817922160810 1481347913467 2962695826934 4444043740401 7406739567335 8888087480802 13332131221203 14813479134670 22220218702005 26664262442406 44440437404010 66660656106015 133321312212030