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2200010120 = 2357111742017
BaseRepresentation
bin1000001100100001…
…0111110110001000
312200022201002112022
42003020113312020
514001200310440
61002145504012
7105342530450
oct20310276610
95608632468
102200010120
11a29937190
12514942008
13290a36149
1416c280d60
15cd21ecb5
hex83217d88

2200010120 has 128 divisors (see below), whose sum is σ = 6534639360. Its totient is φ = 645365760.

The previous prime is 2200010119. The next prime is 2200010123. The reversal of 2200010120 is 210100022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2200010098 and 2200010107.

It is not an unprimeable number, because it can be changed into a prime (2200010123) by changing a digit.

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, 31352 + ... + 73368.

It is an arithmetic number, because the mean of its divisors is an integer number (51051870).

Almost surely, 22200010120 is an apocalyptic number.

2200010120 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 2200010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267319680).

2200010120 is an abundant number, since it is smaller than the sum of its proper divisors (4334629240).

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

2200010120 is a wasteful number, since it uses less digits than its factorization.

2200010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42063 (or 42059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2200010120 is about 46904.2654776727. The cubic root of 2200010120 is about 1300.5934410885.

Adding to 2200010120 its reverse (210100022), we get a palindrome (2410110142).

The spelling of 2200010120 in words is "two billion, two hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 2380 2618 3080 3740 4760 5236 6545 7480 10472 13090 26180 42017 52360 84034 168068 210085 294119 336136 420170 462187 588238 714289 840340 924374 1176476 1428578 1470595 1680680 1848748 2310935 2352952 2857156 2941190 3235309 3571445 3697496 4621870 5000023 5714312 5882380 6470618 7142890 7857179 9243740 10000046 11764760 12941236 14285780 15714358 16176545 18487480 20000092 25000115 25882472 28571560 31428716 32353090 39285895 40000184 50000230 55000253 62857432 64706180 78571790 100000460 110000506 129412360 157143580 200000920 220001012 275001265 314287160 440002024 550002530 1100005060 2200010120