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32130132120200 = 23521072296556367
BaseRepresentation
bin1110100111000111000010…
…00111001001001010001000
311012202121111011002020220202
413103203201013021022020
513202410002310321300
6152200213503111332
76524216424562562
oct723434107111210
9135677434066822
1032130132120200
11a268348a50914
12372b0502a2548
1314c0b2105697a
147d116ca98332
153aaba2516ad5
hex1d38e11c9288

32130132120200 has 96 divisors (see below), whose sum is σ = 75729984220800. Its totient is φ = 12676340279040.

The previous prime is 32130132120173. The next prime is 32130132120223. The reversal of 32130132120200 is 202123103123.

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

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 23 ways as a sum of consecutive naturals, for example, 1622417 + ... + 8178783.

It is an arithmetic number, because the mean of its divisors is an integer number (788854002300).

Almost surely, 232130132120200 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 32130132120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37864992110400).

32130132120200 is an abundant number, since it is smaller than the sum of its proper divisors (43599852100600).

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

32130132120200 is a wasteful number, since it uses less digits than its factorization.

32130132120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556719 (or 6556710 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 32130132120200 its reverse (202123103123), we get a palindrome (32332255223323).

The spelling of 32130132120200 in words is "thirty-two trillion, one hundred thirty billion, one hundred thirty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 229 428 458 535 856 916 1070 1145 1832 2140 2290 2675 4280 4580 5350 5725 9160 10700 11450 21400 22900 24503 45800 49006 98012 122515 196024 245030 490060 612575 980120 1225150 2450300 4900600 6556367 13112734 26225468 32781835 52450936 65563670 131127340 163909175 262254680 327818350 655636700 701531269 1311273400 1403062538 1501408043 2806125076 3002816086 3507656345 5612250152 6005632172 7015312690 7507040215 12011264344 14030625380 15014080430 17538281725 28061250760 30028160860 35076563450 37535201075 60056321720 70153126900 75070402150 140306253800 150140804300 160650660601 300281608600 321301321202 642602642404 803253303005 1285205284808 1606506606010 3213013212020 4016266515025 6426026424040 8032533030050 16065066060100 32130132120200