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2105423320 = 2357111352583
BaseRepresentation
bin111110101111110…
…0011010111011000
312102201201120211111
41331133203113120
513302442021240
6544530310104
7103113542260
oct17537432730
95381646744
102105423320
11990502780
124a9128334
13277269520
1415d89c7a0
15c4c891ea
hex7d7e35d8

2105423320 has 128 divisors (see below), whose sum is σ = 6360560640. Its totient is φ = 605744640.

The previous prime is 2105423317. The next prime is 2105423323. The reversal of 2105423320 is 233245012.

It is an interprime number because it is at equal distance from previous prime (2105423317) and next prime (2105423323).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2105423291 and 2105423300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105423323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13749 + ... + 66331.

It is an arithmetic number, because the mean of its divisors is an integer number (49691880).

Almost surely, 22105423320 is an apocalyptic number.

2105423320 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 2105423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180280320).

2105423320 is an abundant number, since it is smaller than the sum of its proper divisors (4255137320).

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

2105423320 is a wasteful number, since it uses less digits than its factorization.

2105423320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52625 (or 52621 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2105423320 is about 45884.8920669974. The cubic root of 2105423320 is about 1281.6805968293.

Adding to 2105423320 its reverse (233245012), we get a palindrome (2338668332).

The spelling of 2105423320 in words is "two billion, one hundred five million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 52583 105166 210332 262915 368081 420664 525830 578413 683579 736162 1051660 1156826 1367158 1472324 1840405 2103320 2313652 2734316 2892065 2944648 3417895 3680810 4048891 4627304 4785053 5468632 5784130 6835790 7361620 7519369 8097782 9570106 11568260 13671580 14723240 15038738 16195564 19140212 20244455 23136520 23925265 27343160 30077476 32391128 37596845 38280424 40488910 47850530 52635583 60154952 75193690 80977820 95701060 105271166 150387380 161955640 191402120 210542332 263177915 300774760 421084664 526355830 1052711660 2105423320