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2201330120 = 2351119594463
BaseRepresentation
bin1000001100110101…
…1010000111001000
312200102012011020012
42003031122013020
514002020030440
61002234051052
7105356666033
oct20315320710
95612164205
102201330120
11a2a6589a0
12515279a88
132910a8c02
1416c50601a
15cd3d0e65
hex8335a1c8

2201330120 has 128 divisors (see below), whose sum is σ = 5785344000. Its totient is φ = 745332480.

The previous prime is 2201330099. The next prime is 2201330137. The reversal of 2201330120 is 210331022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2201330095 and 2201330104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491009 + ... + 495471.

It is an arithmetic number, because the mean of its divisors is an integer number (45198000).

Almost surely, 22201330120 is an apocalyptic number.

2201330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892672000).

2201330120 is an abundant number, since it is smaller than the sum of its proper divisors (3584013880).

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

2201330120 is a wasteful number, since it uses less digits than its factorization.

2201330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2201330120 is about 46918.3345825489. The cubic root of 2201330120 is about 1300.8535065743.

Adding to 2201330120 its reverse (210331022), we get a palindrome (2411661142).

The spelling of 2201330120 in words is "two billion, two hundred one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 59 76 88 95 110 118 152 190 209 220 236 295 380 418 440 472 590 649 760 836 1045 1121 1180 1298 1672 2090 2242 2360 2596 3245 4180 4463 4484 5192 5605 6490 8360 8926 8968 11210 12331 12980 17852 22315 22420 24662 25960 35704 44630 44840 49093 49324 61655 84797 89260 98186 98648 123310 169594 178520 196372 245465 246620 263317 339188 392744 423985 490930 493240 526634 678376 847970 932767 981860 1053268 1316585 1695940 1865534 1963720 2106536 2633170 2896487 3391880 3731068 4663835 5003023 5266340 5792974 7462136 9327670 10006046 10532680 11585948 14482435 18655340 20012092 23171896 25015115 28964870 37310680 40024184 50030230 55033253 57929740 100060460 110066506 115859480 200120920 220133012 275166265 440266024 550332530 1100665060 2201330120