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2123124030 = 2325192101647
BaseRepresentation
bin111111010001100…
…0100110100111110
312110222000212122100
41332203010310332
513322004432110
6550401525530
7103420153656
oct17643046476
95428025570
102123124030
1199a4a2565
124b30438a6
1327ab26211
14161d89366
15c65d3bc0
hex7e8c4d3e

2123124030 has 144 divisors (see below), whose sum is σ = 5892722784. Its totient is φ = 530236800.

The previous prime is 2123124013. The next prime is 2123124041. The reversal of 2123124030 is 304213212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2123123994 and 2123124012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3281167 + ... + 3281813.

It is an arithmetic number, because the mean of its divisors is an integer number (40921686).

Almost surely, 22123124030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123124030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946361392).

2123124030 is an abundant number, since it is smaller than the sum of its proper divisors (3769598754).

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

2123124030 is a wasteful number, since it uses less digits than its factorization.

2123124030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123124030 is about 46077.3700421367. The cubic root of 2123124030 is about 1285.2623586800.

Adding to 2123124030 its reverse (304213212), we get a palindrome (2427337242).

The spelling of 2123124030 in words is "two billion, one hundred twenty-three million, one hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 101 114 171 190 202 285 303 342 361 505 570 606 647 722 855 909 1010 1083 1294 1515 1710 1805 1818 1919 1941 2166 3030 3235 3249 3610 3838 3882 4545 5415 5757 5823 6470 6498 9090 9595 9705 10830 11514 11646 12293 16245 17271 19190 19410 24586 28785 29115 32490 34542 36461 36879 57570 58230 61465 65347 72922 73758 86355 109383 110637 122930 130694 172710 182305 184395 196041 218766 221274 233567 326735 328149 364610 368790 392082 467134 546915 553185 588123 653470 656298 700701 980205 1093830 1106370 1167835 1176246 1241593 1401402 1640745 1960410 2102103 2335670 2483186 2940615 3281490 3503505 3724779 4204206 5881230 6207965 7007010 7449558 10510515 11174337 12415930 18623895 21021030 22348674 23590267 37247790 47180534 55871685 70770801 111743370 117951335 141541602 212312403 235902670 353854005 424624806 707708010 1061562015 2123124030