Search a number
-
+
21203333130 = 23571737915671
BaseRepresentation
bin10011101111110100…
…010011000000001010
32000201200210220222110
4103233310103000022
5321411023130010
613423553003150
71350303233520
oct235764230012
960650726873
1021203333130
118aa0802011
124138b534b6
131ccba98285
141052042310
15841714120
hex4efd1300a

21203333130 has 128 divisors (see below), whose sum is σ = 61745172480. Its totient is φ = 4549063680.

The previous prime is 21203333083. The next prime is 21203333131. The reversal of 21203333130 is 3133330212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21203333097 and 21203333106.

It is not an unprimeable number, because it can be changed into a prime (21203333131) 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, 1345195 + ... + 1360865.

It is an arithmetic number, because the mean of its divisors is an integer number (482384160).

Almost surely, 221203333130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21203333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30872586240).

21203333130 is an abundant number, since it is smaller than the sum of its proper divisors (40541839350).

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

21203333130 is a wasteful number, since it uses less digits than its factorization.

21203333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16084.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 21203333130 its reverse (3133330212), we get a palindrome (24336663342).

The spelling of 21203333130 in words is "twenty-one billion, two hundred three million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 379 510 595 714 758 1137 1190 1785 1895 2274 2653 3570 3790 5306 5685 6443 7959 11370 12886 13265 15671 15918 19329 26530 31342 32215 38658 39795 45101 47013 64430 78355 79590 90202 94026 96645 109697 135303 156710 193290 219394 225505 235065 266407 270606 329091 451010 470130 532814 548485 658182 676515 799221 1096970 1332035 1353030 1598442 1645455 1864849 2664070 3290910 3729698 3996105 5594547 5939309 7992210 9324245 11189094 11878618 17817927 18648490 27972735 29696545 35635854 41575163 55945470 59393090 83150326 89089635 100968253 124725489 178179270 201936506 207875815 249450978 302904759 415751630 504841265 605809518 623627445 706777771 1009682530 1247254890 1413555542 1514523795 2120333313 3029047590 3533888855 4240666626 7067777710 10601666565 21203333130