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133212203131232 = 25174112914626313
BaseRepresentation
bin11110010010011111100010…
…000011000010000101100000
3122110122221222110220112201202
4132102133202003002011200
5114430022043000144412
61151152501415020332
740026156401624621
oct3622374203020540
9573587873815652
10133212203131232
1139499a83918225
1212b3550136a6a8
135943b1a67b364
1424c770db4da48
15106024d7593c2
hex7927e20c2160

133212203131232 has 96 divisors (see below), whose sum is σ = 284681971484064. Its totient is φ = 61111730995200.

The previous prime is 133212203131229. The next prime is 133212203131253. The reversal of 133212203131232 is 232131302212331.

It is a junction number, because it is equal to n+sod(n) for n = 133212203131195 and 133212203131204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26481308 + ... + 31107620.

It is an arithmetic number, because the mean of its divisors is an integer number (2965437202959).

Almost surely, 2133212203131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212203131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142340985742032).

133212203131232 is an abundant number, since it is smaller than the sum of its proper divisors (151469768352832).

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

133212203131232 is a wasteful number, since it uses less digits than its factorization.

133212203131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627672 (or 4627664 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 133212203131232 its reverse (232131302212331), we get a palindrome (365343505343563).

The spelling of 133212203131232 in words is "one hundred thirty-three trillion, two hundred twelve billion, two hundred three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1291 1312 1394 2582 2788 5164 5576 10328 11152 20656 21947 22304 41312 43894 52931 87788 105862 175576 211724 351152 423448 702304 846896 899827 1693792 1799654 3599308 4626313 7198616 9252626 14397232 18505252 28794464 37010504 74021008 78647321 148042016 157294642 189678833 314589284 379357666 629178568 758715332 1258357136 1517430664 2516714272 3034861328 3224540161 5972570083 6069722656 6449080322 11945140166 12898160644 23890280332 25796321288 47780560664 51592642576 95561121328 101533691411 103185285152 191122242656 203067382822 244875373403 406134765644 489750746806 812269531288 979501493612 1624539062576 1959002987224 3249078125152 3918005974448 4162881347851 7836011948896 8325762695702 16651525391404 33303050782808 66606101565616 133212203131232