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10010133320320 = 27572397148033
BaseRepresentation
bin1001000110101010101001…
…1100001101001010000000
31022102221220101212021001101
42101222222130031022000
52303001223112222240
633142331453144144
72052131302216240
oct221525234151200
938387811767041
1010010133320320
11320a301328611
12115804548b054
13577c4a654853
142686c8c77b20
151255be88839a
hex91aaa70d280

10010133320320 has 128 divisors (see below), whose sum is σ = 28538206467840. Its totient is φ = 3282826297344.

The previous prime is 10010133320309. The next prime is 10010133320323. The reversal of 10010133320320 is 2302333101001.

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

It is not an unprimeable number, because it can be changed into a prime (10010133320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48470977 + ... + 48677056.

It is an arithmetic number, because the mean of its divisors is an integer number (222954738030).

Almost surely, 210010133320320 is an apocalyptic number.

10010133320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010133320320 is an abundant number, since it is smaller than the sum of its proper divisors (18528073147520).

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

10010133320320 is an equidigital number, since it uses as much as digits as its factorization.

10010133320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97148082 (or 97148070 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10010133320320 its reverse (2302333101001), we get a palindrome (12312466421321).

The spelling of 10010133320320 in words is "ten trillion, ten billion, one hundred thirty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1472 1610 1840 2240 2576 2944 3220 3680 4480 5152 6440 7360 10304 12880 14720 20608 25760 51520 103040 97148033 194296066 388592132 485740165 680036231 777184264 971480330 1360072462 1554368528 1942960660 2234404759 2720144924 3108737056 3400181155 3885921320 4468809518 5440289848 6217474112 6800362310 7771842640 8937619036 10880579696 11172023795 12434948224 13600724620 15543685280 15640833313 17875238072 21761159392 22344047590 27201449240 31087370560 31281666626 35750476144 43522318784 44688095180 54402898480 62174741120 62563333252 71500952288 78204166565 87044637568 89376190360 108805796960 125126666504 143001904576 156408333130 178752380720 217611593920 250253333008 286003809152 312816666260 357504761440 435223187840 500506666016 625633332520 715009522880 1001013332032 1251266665040 1430019045760 2002026664064 2502533330080 5005066660160 10010133320320