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320010130200 = 23352677960451
BaseRepresentation
bin1001010100000100001…
…01110001001100011000
31010121000001111222000110
410222002011301030120
520220340043131300
6403002143404320
732056102140345
oct4520205611430
91117001458013
10320010130200
11113796415292
125202a8b36a0
132423b642437
14116ba9037cc
1584ce27b550
hex4a82171318

320010130200 has 96 divisors (see below), whose sum is σ = 1006837968960. Its totient is φ = 84062352000.

The previous prime is 320010130163. The next prime is 320010130201. The reversal of 320010130200 is 2031010023.

It is a happy number.

It is a super-3 number, since 3×3200101302003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320010130201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3940026 + ... + 4020425.

It is an arithmetic number, because the mean of its divisors is an integer number (10487895510).

Almost surely, 2320010130200 is an apocalyptic number.

320010130200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320010130200 is an abundant number, since it is smaller than the sum of its proper divisors (686827838760).

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

320010130200 is a wasteful number, since it uses less digits than its factorization.

320010130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7960537 (or 7960528 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 320010130200 its reverse (2031010023), we get a palindrome (322041140223).

The spelling of 320010130200 in words is "three hundred twenty billion, ten million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 7960451 15920902 23881353 31841804 39802255 47762706 63683608 79604510 95525412 119406765 159209020 191050824 199011275 238813530 318418040 398022550 477627060 533350217 597033825 796045100 955254120 1066700434 1194067650 1592090200 1600050651 2133400868 2388135300 2666751085 3200101302 4266801736 4776270600 5333502170 6400202604 8000253255 10667004340 12800405208 13333755425 16000506510 21334008680 26667510850 32001013020 40001266275 53335021700 64002026040 80002532550 106670043400 160005065100 320010130200