Search a number
-
+
21530543342250 = 2353151466340771
BaseRepresentation
bin1001110010100111110000…
…11000110100001010101010
32211020022002120210012012110
410321103320120310022222
510310224023043423000
6113442554533423150
74351346635541325
oct471237030641252
984208076705173
1021530543342250
116951063464538
1224b891b49aab6
13c02424511407
1454612616b7bc
152750d38d4850
hex1394f86342aa

21530543342250 has 128 divisors (see below), whose sum is σ = 54109060042752. Its totient is φ = 5702092200000.

The previous prime is 21530543342219. The next prime is 21530543342251. The reversal of 21530543342250 is 5224334503512.

It is a super-2 number, since 2×215305433422502 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21530543342199 and 21530543342208.

It is not an unprimeable number, because it can be changed into a prime (21530543342251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528064365 + ... + 528105135.

It is an arithmetic number, because the mean of its divisors is an integer number (422727031584).

Almost surely, 221530543342250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21530543342250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27054530021376).

21530543342250 is an abundant number, since it is smaller than the sum of its proper divisors (32578516700502).

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

21530543342250 is a wasteful number, since it uses less digits than its factorization.

21530543342250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45605 (or 45595 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 21530543342250 its reverse (5224334503512), we get a palindrome (26754877845762).

The spelling of 21530543342250 in words is "twenty-one trillion, five hundred thirty billion, five hundred forty-three million, three hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 151 250 302 375 453 750 755 906 1510 2265 3775 4530 4663 7550 9326 11325 13989 18875 22650 23315 27978 37750 40771 46630 56625 69945 81542 113250 116575 122313 139890 203855 233150 244626 349725 407710 582875 611565 699450 704113 1019275 1165750 1223130 1408226 1748625 2038550 2112339 3057825 3497250 3520565 4224678 5096375 6115650 6156421 7041130 10192750 10561695 12312842 15289125 17602825 18469263 21123390 30578250 30782105 35205650 36938526 52808475 61564210 88014125 92346315 105616950 153910525 176028250 184692630 190115173 264042375 307821050 380230346 461731575 528084750 570345519 769552625 923463150 950575865 1140691038 1539105250 1901151730 2308657875 2851727595 4617315750 4752879325 5703455190 9505758650 14258637975 23764396625 28517275950 28707391123 47528793250 57414782246 71293189875 86122173369 142586379750 143536955615 172244346738 287073911230 430610866845 717684778075 861221733690 1435369556150 2153054334225 3588423890375 4306108668450 7176847780750 10765271671125 21530543342250