Search a number
-
+
210521521050232 = 23731743887184007
BaseRepresentation
bin101111110111011111011100…
…011110101101001001111000
31000121101122211202201122112211
4233313133130132231021320
5210043141033342101412
62023424130204344504
762225451354525250
oct5767373436551170
91017348752648484
10210521521050232
1161095748391397
121b740593545134
13906112c0c2502
1439db420280960
151951234187ca7
hexbf77dc7ad278

210521521050232 has 128 divisors (see below), whose sum is σ = 466824704163840. Its totient is φ = 87096781779840.

The previous prime is 210521521050229. The next prime is 210521521050271. The reversal of 210521521050232 is 232050125125012.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 210521521050194 and 210521521050203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144003173 + ... + 1144187179.

It is an arithmetic number, because the mean of its divisors is an integer number (3647068001280).

Almost surely, 2210521521050232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210521521050232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233412352081920).

210521521050232 is an abundant number, since it is smaller than the sum of its proper divisors (256303183113608).

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

210521521050232 is a wasteful number, since it uses less digits than its factorization.

210521521050232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185681 (or 185677 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 210521521050232 its reverse (232050125125012), we get a palindrome (442571646175244).

The spelling of 210521521050232 in words is "two hundred ten trillion, five hundred twenty-one billion, five hundred twenty-one million, fifty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 743 868 887 1486 1736 1774 2972 3548 5201 5944 6209 7096 10402 12418 20804 23033 24836 27497 41608 46066 49672 54994 92132 109988 161231 184007 184264 192479 219976 322462 368014 384958 644924 659041 736028 769916 1288049 1289848 1318082 1472056 1539832 2576098 2636164 4613287 5152196 5272328 5704217 9226574 10304392 11408434 18453148 20430271 22816868 36906296 39929519 40860542 45633736 79859038 81721084 136717201 143011897 159718076 163214209 163442168 273434402 286023794 319436152 326428418 546868804 572047588 652856836 957020407 1093737608 1142499463 1144095176 1305713672 1914040814 2284998926 3828081628 4238233231 4569997852 5059640479 7656163256 8476466462 9139995704 10119280958 16952932924 20238561916 29667632617 33905865848 35417483353 40477123832 59335265234 70834966706 118670530468 121268157287 141669933412 237341060936 242536314574 283339866824 485072629148 848877101009 970145258296 1697754202018 3395508404036 3759312875897 6791016808072 7518625751794 15037251503588 26315190131279 30074503007176 52630380262558 105260760525116 210521521050232