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13323122032000 = 27531175699557
BaseRepresentation
bin1100000111100000011111…
…1101001011110110000000
31202011200022021121111001011
43001320013331023312000
53221241223220011000
644200320251050304
72543364245510044
oct301700775136600
952150267544034
1013323122032000
114277339065950
1215b213a740994
13758498c31c61
14340bb1d40024
15181871c0d2ba
hexc1e07f4bd80

13323122032000 has 128 divisors (see below), whose sum is σ = 36135941006880. Its totient is φ = 4844771584000.

The previous prime is 13323122031997. The next prime is 13323122032001. The reversal of 13323122032000 is 23022132331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323122032001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37673779 + ... + 38025778.

Almost surely, 213323122032000 is an apocalyptic number.

13323122032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323122032000 is an abundant number, since it is smaller than the sum of its proper divisors (22812818974880).

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

13323122032000 is an equidigital number, since it uses as much as digits as its factorization.

13323122032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75699597 (or 75699575 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13323122032000 its reverse (23022132331), we get a palindrome (13346144164331).

It can be divided in two parts, 133231220 and 32000, that multiplied together give a square (4263399040000 = 20648002).

The spelling of 13323122032000 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-two million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 35200 44000 88000 176000 75699557 151399114 302798228 378497785 605596456 756995570 832695127 1211192912 1513991140 1665390254 1892488925 2422385824 3027982280 3330780508 3784977850 4163475635 4844771648 6055964560 6661561016 7569955700 8326951270 9462444625 9689543296 12111929120 13323122032 15139911400 16653902540 18924889250 20817378175 24223858240 26646244064 30279822800 33307805080 37849778500 41634756350 48447716480 53292488128 60559645600 66615610160 75699557000 83269512700 104086890875 106584976256 121119291200 133231220320 151399114000 166539025400 208173781750 242238582400 266462440640 302798228000 333078050800 416347563500 532924881280 605596456000 666156101600 832695127000 1211192912000 1332312203200 1665390254000 2664624406400 3330780508000 6661561016000 13323122032000