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11332341322104 = 23311373877299239
BaseRepresentation
bin1010010011101000010000…
…1011011101000101111000
31111010100202100111002120010
42210322010023131011320
52441132113334301404
640034001123301520
72246506660621545
oct244720413350570
944110670432503
1011332341322104
11367a023274190
12133034a21a8a0
136428346ca43a
142b26b9a69bcc
15149ba82c7189
hexa4e842dd178

11332341322104 has 128 divisors (see below), whose sum is σ = 31749986419200. Its totient is φ = 3340357885440.

The previous prime is 11332341322103. The next prime is 11332341322109. The reversal of 11332341322104 is 40122314323311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332341322103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37720917 + ... + 38020155.

It is an arithmetic number, because the mean of its divisors is an integer number (248046768900).

Almost surely, 211332341322104 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 11332341322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15874993209600).

11332341322104 is an abundant number, since it is smaller than the sum of its proper divisors (20417645097096).

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

11332341322104 is a wasteful number, since it uses less digits than its factorization.

11332341322104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303173 (or 303169 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 11332341322104 its reverse (40122314323311), we get a palindrome (51454655645415).

The spelling of 11332341322104 in words is "eleven trillion, three hundred thirty-two billion, three hundred forty-one million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 3877 4884 7754 9768 11631 15508 23262 31016 42647 46524 85294 93048 127941 143449 170588 255882 286898 299239 341176 430347 511764 573796 598478 860694 897717 1023528 1147592 1196956 1577939 1721388 1795434 2393912 3155878 3291629 3442776 3590868 4733817 6311756 6583258 7181736 9467634 9874887 11071843 12623512 13166516 18935268 19749774 22143686 26333032 33215529 37870536 39499548 44287372 66431058 78999096 88574744 121790273 132862116 243580546 265724232 365370819 487161092 730741638 974322184 1160149603 1461483276 2320299206 2922966552 3480448809 4640598412 6960897618 9281196824 12761645633 13921795236 25523291266 27843590472 38284936899 42925535311 51046582532 76569873798 85851070622 102093165064 128776605933 153139747596 171702141244 257553211866 306279495192 343404282488 472180888421 515106423732 944361776842 1030212847464 1416542665263 1888723553684 2833085330526 3777447107368 5666170661052 11332341322104