Search a number
-
+
33044213301132 = 2231119710837117259
BaseRepresentation
bin1111000001101101101001…
…00110000111111110001100
311022222222220001002110000210
413200312310212013332030
513312344022101114012
6154140145123122420
76650236260454005
oct740666446077614
9138888801073023
1033044213301132
11a58aa76a47320
123858234213410
131559095ba66a7
148234c424a1ac
153c4850d6023c
hex1e0db4987f8c

33044213301132 has 96 divisors (see below), whose sum is σ = 84548032208640. Its totient is φ = 9961564273920.

The previous prime is 33044213301103. The next prime is 33044213301163. The reversal of 33044213301132 is 23110331244033.

It is a self number, because there is not a number n which added to its sum of digits gives 33044213301132.

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, 281746719 + ... + 281863977.

It is an arithmetic number, because the mean of its divisors is an integer number (880708668840).

Almost surely, 233044213301132 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 33044213301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42274016104320).

33044213301132 is an abundant number, since it is smaller than the sum of its proper divisors (51503818907508).

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

33044213301132 is a wasteful number, since it uses less digits than its factorization.

33044213301132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128311 (or 128309 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 33044213301132 its reverse (23110331244033), we get a palindrome (56154544545165).

The spelling of 33044213301132 in words is "thirty-three trillion, forty-four billion, two hundred thirteen million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 197 394 591 788 1182 2167 2364 4334 6501 8668 10837 13002 21674 26004 32511 43348 65022 117259 119207 130044 234518 238414 351777 357621 469036 476828 703554 715242 1289849 1407108 1430484 2134889 2579698 3869547 4269778 5159396 6404667 7739094 8539556 12809334 15478188 23100023 23483779 25618668 46200046 46967558 69300069 70451337 92400092 93935116 138600138 140902674 254100253 277200276 281805348 508200506 762300759 1016401012 1270735783 1524601518 2541471566 3049203036 3812207349 5082943132 7624414698 13978093613 15248829396 27956187226 41934280839 55912374452 83868561678 167737123356 250334949251 500669898502 751004847753 1001339797004 1502009695506 2753684441761 3004019391012 5507368883522 8261053325283 11014737767044 16522106650566 33044213301132