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120230010000 = 2432541335889
BaseRepresentation
bin110111111111001000…
…1000101110010010000
3102111100000222022220100
41233332101011302100
53432212340310000
6131122150212400
711454261136332
oct1577621056220
9374300868810
10120230010000
1146a97785031
121b374954100
13b450a4b069
145b67adb452
1531da28ba00
hex1bfe445c90

120230010000 has 150 divisors (see below), whose sum is σ = 420462026270. Its totient is φ = 32061312000.

The previous prime is 120230009981. The next prime is 120230010013. The reversal of 120230010000 is 10032021.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 82144145664 + 38085864336 = 286608^2 + 195156^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 29 ways as a sum of consecutive naturals, for example, 577945 + ... + 757944.

Almost surely, 2120230010000 is an apocalyptic number.

120230010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120230010000 is an abundant number, since it is smaller than the sum of its proper divisors (300232016270).

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

120230010000 is a wasteful number, since it uses less digits than its factorization.

120230010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335923 (or 1335899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 120230010000 its reverse (10032021), we get a palindrome (120240042021).

The spelling of 120230010000 in words is "one hundred twenty billion, two hundred thirty million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1335889 2671778 4007667 5343556 6679445 8015334 10687112 12023001 13358890 16030668 20038335 21374224 24046002 26717780 32061336 33397225 40076670 48092004 53435560 60115005 64122672 66794450 80153340 96184008 100191675 106871120 120230010 133588900 160306680 166986125 192368016 200383350 240460020 267177800 300575025 320613360 333972250 400766700 480920040 500958375 534355600 601150050 667944500 801533400 834930625 961840080 1001916750 1202300100 1335889000 1502875125 1603066800 1669861250 2003833500 2404600200 2504791875 2671778000 3005750250 3339722500 4007667000 4809200400 5009583750 6011500500 6679445000 7514375625 8015334000 10019167500 12023001000 13358890000 15028751250 20038335000 24046002000 30057502500 40076670000 60115005000 120230010000