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120096902500 = 22542922392
BaseRepresentation
bin110111111011001010…
…1010100110101100100
3102110222202111202201221
41233312111110311210
53431424301340000
6131101033230124
711451053553661
oct1576625246544
9373882452657
10120096902500
1146a29630433
121b338262344
13b42c2b5023
145b5416ca68
1531cd74761a
hex1bf6554d64

120096902500 has 135 divisors (see below), whose sum is σ = 273139143277. Its totient is φ = 46188184000.

The previous prime is 120096902479. The next prime is 120096902501. The reversal of 120096902500 is 5209690021.

The square root of 120096902500 is 346550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 89823686436 + 30273216064 = 299706^2 + 173992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120096902501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 502497381 + ... + 502497619.

Almost surely, 2120096902500 is an apocalyptic number.

120096902500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120096902500 is the 346550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120096902500

120096902500 is an abundant number, since it is smaller than the sum of its proper divisors (153042240777).

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

120096902500 is an frugal number, since it uses more digits than its factorization.

120096902500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 120096902500 in words is "one hundred twenty billion, ninety-six million, nine hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 239 250 290 478 500 580 625 725 841 956 1195 1250 1450 1682 2390 2500 2900 3364 3625 4205 4780 5975 6931 7250 8410 11950 13862 14500 16820 18125 21025 23900 27724 29875 34655 36250 42050 57121 59750 69310 72500 84100 105125 114242 119500 138620 149375 173275 200999 210250 228484 285605 298750 346550 401998 420500 525625 571210 597500 693100 803996 866375 1004995 1051250 1142420 1428025 1656509 1732750 2009990 2102500 2856050 3313018 3465500 4019980 4331875 5024975 5712100 6626036 7140125 8282545 8663750 10049950 14280250 16565090 17327500 20099900 25124875 28560500 33130180 35700625 41412725 48038761 50249750 71401250 82825450 96077522 100499500 125624375 142802500 165650900 192155044 207063625 240193805 251248750 414127250 480387610 502497500 828254500 960775220 1035318125 1200969025 2070636250 2401938050 4141272500 4803876100 6004845125 12009690250 24019380500 30024225625 60048451250 120096902500