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2101232220 = 2235377113331
BaseRepresentation
bin111110100111110…
…0100001001011100
312102102211122201120
41331033210021130
513300403412340
6544300410540
7103033115313
oct17517441134
95372748646
102101232220
119890aa95a
124a7846a50
1327642c999
1415d0cb27a
15c470c4d0
hex7d3e425c

2101232220 has 96 divisors (see below), whose sum is σ = 6128027136. Its totient is φ = 537465600.

The previous prime is 2101232197. The next prime is 2101232251. The reversal of 2101232220 is 222321012.

It is a happy number.

It is a super-2 number, since 2×21012322202 = 8830353684732256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101232220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150955 + ... + 164285.

It is an arithmetic number, because the mean of its divisors is an integer number (63833616).

Almost surely, 22101232220 is an apocalyptic number.

2101232220 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 2101232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064013568).

2101232220 is an abundant number, since it is smaller than the sum of its proper divisors (4026794916).

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

2101232220 is a wasteful number, since it uses less digits than its factorization.

2101232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451 (or 13449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2101232220 is about 45839.1996003421. The cubic root of 2101232220 is about 1280.8295851028.

Adding to 2101232220 its reverse (222321012), we get a palindrome (2323553232).

The spelling of 2101232220 in words is "two billion, one hundred one million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 71 74 111 142 148 185 213 222 284 355 370 426 444 555 710 740 852 1065 1110 1420 2130 2220 2627 4260 5254 7881 10508 13135 13331 15762 26270 26662 31524 39405 39993 52540 53324 66655 78810 79986 133310 157620 159972 199965 266620 399930 493247 799860 946501 986494 1479741 1893002 1972988 2466235 2839503 2959482 3786004 4732505 4932470 5679006 5918964 7398705 9465010 9864940 11358012 14197515 14797410 18930020 28395030 29594820 35020537 56790060 70041074 105061611 140082148 175102685 210123222 350205370 420246444 525308055 700410740 1050616110 2101232220