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120314234341000 = 2353723747293381
BaseRepresentation
bin11011010110110011010111…
…001100110000011010001000
3120202222221001212010111200101
4123112303113030300122020
5111232212022442403000
61103515332441215144
734225262613051130
oct3326632714603210
9522887055114611
10120314234341000
1135376a86777597
12115b18557914b4
13521977828655b
14219d350849ac0
15dd99b17d6e6a
hex6d6cd7330688

120314234341000 has 128 divisors (see below), whose sum is σ = 335743970664960. Its totient is φ = 39457090464000.

The previous prime is 120314234340997. The next prime is 120314234341001. The reversal of 120314234341000 is 143432413021.

It is a happy number.

It is a super-2 number, since 2×1203142343410002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 120314234341000.

It is not an unprimeable number, because it can be changed into a prime (120314234341001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373485691 + ... + 373807690.

It is an arithmetic number, because the mean of its divisors is an integer number (2622999770820).

Almost surely, 2120314234341000 is an apocalyptic number.

120314234341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120314234341000 is an abundant number, since it is smaller than the sum of its proper divisors (215429736323960).

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

120314234341000 is a wasteful number, since it uses less digits than its factorization.

120314234341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747293432 (or 747293418 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 120314234341000 its reverse (143432413021), we get a palindrome (120457666754021).

The spelling of 120314234341000 in words is "one hundred twenty trillion, three hundred fourteen billion, two hundred thirty-four million, three hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 322 350 460 500 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 2300 2875 3220 3500 4025 4600 5750 6440 7000 8050 11500 16100 20125 23000 32200 40250 80500 161000 747293381 1494586762 2989173524 3736466905 5231053667 5978347048 7472933810 10462107334 14945867620 17187747763 18682334525 20924214668 26155268335 29891735240 34375495526 37364669050 41848429336 52310536670 68750991052 74729338100 85938738815 93411672625 104621073340 120314234341 130776341675 137501982104 149458676200 171877477630 186823345250 209242146680 240628468682 261552683350 343754955260 373646690500 429693694075 481256937364 523105366700 601571171705 653881708375 687509910520 747293381000 859387388150 962513874728 1046210733400 1203142343410 1307763416750 1718774776300 2148468470375 2406284686820 2615526833500 3007855858525 3437549552600 4296936940750 4812569373640 5231053667000 6015711717050 8593873881500 12031423434100 15039279292625 17187747763000 24062846868200 30078558585250 60157117170500 120314234341000