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32100130320320 = 265973113325253
BaseRepresentation
bin1110100110001111001001…
…10111010110111111000000
311012122202001021101220120102
413103013210313112333000
513201412031330222240
6152134332444301532
76522105103516346
oct723074467267700
9135582037356512
1032100130320320
11a256652798587
1237252788418a8
1314bb04c4b156a
147cd924301996
153a9ee8684815
hex1d31e4dd6fc0

32100130320320 has 112 divisors (see below), whose sum is σ = 77474800323648. Its totient is φ = 12666815938560.

The previous prime is 32100130320233. The next prime is 32100130320361. The reversal of 32100130320320 is 2302303100123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32100130320292 and 32100130320301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7990814 + ... + 11316066.

It is an arithmetic number, because the mean of its divisors is an integer number (691739288604).

Almost surely, 232100130320320 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 32100130320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38737400161824).

32100130320320 is an abundant number, since it is smaller than the sum of its proper divisors (45374670003328).

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

32100130320320 is a wasteful number, since it uses less digits than its factorization.

32100130320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325678 (or 3325668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32100130320320 its reverse (2302303100123), we get a palindrome (34402433420443).

The spelling of 32100130320320 in words is "thirty-two trillion, one hundred billion, one hundred thirty million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 311 320 388 485 622 776 970 1244 1552 1555 1940 2488 3104 3110 3880 4976 6208 6220 7760 9952 12440 15520 19904 24880 30167 31040 49760 60334 99520 120668 150835 241336 301670 482672 603340 965344 1206680 1930688 2413360 3325253 4826720 6650506 9653440 13301012 16626265 26602024 33252530 53204048 66505060 106408096 133010120 212816192 266020240 322549541 532040480 645099082 1034153683 1064080960 1290198164 1612747705 2068307366 2580396328 3225495410 4136614732 5160792656 5170768415 6450990820 8273229464 10321585312 10341536830 12901981640 16546458928 20643170624 20683073660 25803963280 33092917856 41366147320 51607926560 66185835712 82732294640 100312907251 103215853120 165464589280 200625814502 330929178560 401251629004 501564536255 802503258008 1003129072510 1605006516016 2006258145020 3210013032032 4012516290040 6420026064064 8025032580080 16050065160160 32100130320320