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102224311252 = 227194335312659
BaseRepresentation
bin101111100110100001…
…0110011001111010100
3100202212012002001122221
41133031002303033110
53133323410430002
6114543341432124
710246133210650
oct1371502631724
9322765061587
10102224311252
113a397a60068
121798a86b644
1398415a394b
144d3a629a60
1529d4659c37
hex17cd0b33d4

102224311252 has 96 divisors (see below), whose sum is σ = 220855219200. Its totient is φ = 40421348352.

The previous prime is 102224311171. The next prime is 102224311289. The reversal of 102224311252 is 252113422201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8068899 + ... + 8081557.

It is an arithmetic number, because the mean of its divisors is an integer number (2300575200).

Almost surely, 2102224311252 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 102224311252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110427609600).

102224311252 is an abundant number, since it is smaller than the sum of its proper divisors (118630907948).

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

102224311252 is a wasteful number, since it uses less digits than its factorization.

102224311252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13085 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 102224311252 its reverse (252113422201), we get a palindrome (354337733453).

The spelling of 102224311252 in words is "one hundred two billion, two hundred twenty-four million, three hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 353 532 602 706 817 1204 1412 1634 2471 3268 4942 5719 6707 9884 11438 12659 13414 15179 22876 25318 26828 30358 46949 50636 60716 88613 93898 106253 177226 187796 212506 240521 288401 354452 425012 481042 544337 576802 962084 1088674 1153604 1683647 2018807 2177348 3367294 3810359 4037614 4468627 6734588 7620718 8075228 8937254 10342403 15241436 17874508 20684806 31280389 41369612 62560778 72396821 84903913 125121556 144793642 169807826 192150961 289587284 339615652 384301922 594327391 768603844 1188654782 1345056727 2377309564 2690113454 3650868259 5380226908 7301736518 14603473036 25556077813 51112155626 102224311252