Search a number
-
+
51214253410100 = 225211323271440233
BaseRepresentation
bin10111010010100001111110…
…11000011100011100110100
320201100000221101011122000002
423221100333120130130310
523203043242333110400
6300531300410010432
713534051641206504
oct1351207730343464
9221300841148002
1051214253410100
111535592a996150
1258b17b9a16a18
132276638c84451
14c90ad6b31a04
155dc300d37ed5
hex2e943f61c734

51214253410100 has 72 divisors (see below), whose sum is σ = 121241939894208. Its totient is φ = 18622775852800.

The previous prime is 51214253410093. The next prime is 51214253410123. The reversal of 51214253410100 is 101435241215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34839584 + ... + 36279816.

It is an arithmetic number, because the mean of its divisors is an integer number (1683915831864).

Almost surely, 251214253410100 is an apocalyptic number.

51214253410100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51214253410100 is an abundant number, since it is smaller than the sum of its proper divisors (70027686484108).

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

51214253410100 is a wasteful number, since it uses less digits than its factorization.

51214253410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472585 (or 1472578 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 51214253410100 its reverse (101435241215), we get a palindrome (51315688651315).

The spelling of 51214253410100 in words is "fifty-one trillion, two hundred fourteen billion, two hundred fifty-three million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 32327 64654 129308 161635 323270 355597 646540 711194 808175 1422388 1440233 1616350 1777985 2880466 3232700 3555970 5760932 7111940 7201165 8889925 14402330 15842563 17779850 28804660 31685126 35559700 36005825 63370252 72011650 79212815 144023300 158425630 316851260 396064075 792128150 1584256300 46558412191 93116824382 186233648764 232792060955 465584121910 512142534101 931168243820 1024285068202 1163960304775 2048570136404 2327920609550 2560712670505 4655841219100 5121425341010 10242850682020 12803563352525 25607126705050 51214253410100