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32034104113000 = 2353116534459711
BaseRepresentation
bin1110100100010100001010…
…11001010111011101101000
311012102102121210110001110111
413102022011121113131220
513144321321123104000
6152044133025424104
76514246651152163
oct722120531273550
9135372553401414
1032034104113000
11a23065070a7a0
12371451079b034
1314b4a59410a32
147ca65d37aada
153a8431d6dcba
hex1d2285657768

32034104113000 has 128 divisors (see below), whose sum is σ = 81899578275840. Its totient is φ = 11630923680000.

The previous prime is 32034104112977. The next prime is 32034104113019. The reversal of 32034104113000 is 31140143023.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4953145 + ... + 9412855.

It is an arithmetic number, because the mean of its divisors is an integer number (639840455280).

Almost surely, 232034104113000 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 32034104113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40949789137920).

32034104113000 is an abundant number, since it is smaller than the sum of its proper divisors (49865474162840).

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

32034104113000 is a wasteful number, since it uses less digits than its factorization.

32034104113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460396 (or 4460382 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 32034104113000 its reverse (31140143023), we get a palindrome (32065244256023).

The spelling of 32034104113000 in words is "thirty-two trillion, thirty-four billion, one hundred four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 653 1000 1100 1306 1375 2200 2612 2750 3265 5224 5500 6530 7183 11000 13060 14366 16325 26120 28732 32650 35915 57464 65300 71830 81625 130600 143660 163250 179575 287320 326500 359150 653000 718300 897875 1436600 1795750 3591500 4459711 7183000 8919422 17838844 22298555 35677688 44597110 49056821 89194220 98113642 111492775 178388440 196227284 222985550 245284105 392454568 445971100 490568210 557463875 891942200 981136420 1114927750 1226420525 1962272840 2229855500 2452841050 2912191283 4459711000 4905682100 5824382566 6132102625 9811364200 11648765132 12264205250 14560956415 23297530264 24528410500 29121912830 32034104113 49056821000 58243825660 64068208226 72804782075 116487651320 128136416452 145609564150 160170520565 256272832904 291219128300 320341041130 364023910375 582438256600 640682082260 728047820750 800852602825 1281364164520 1456095641500 1601705205650 2912191283000 3203410411300 4004263014125 6406820822600 8008526028250 16017052056500 32034104113000