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102223232124 = 223132414328591
BaseRepresentation
bin101111100110011111…
…0101011110001111100
3100202212010001020101020
41133030332223301330
53133323121411444
6114543302344140
710246121064546
oct1371476536174
9322763036336
10102223232124
113a397393322
121798a42b050
1398412b6700
144d3a428696
1529d44e5119
hex17ccfabc7c

102223232124 has 144 divisors (see below), whose sum is σ = 270741993984. Its totient is φ = 29971468800.

The previous prime is 102223232113. The next prime is 102223232171. The reversal of 102223232124 is 421232322201.

It is a junction number, because it is equal to n+sod(n) for n = 102223232094 and 102223232103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3561069 + ... + 3589659.

It is an arithmetic number, because the mean of its divisors is an integer number (1880152736).

Almost surely, 2102223232124 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 102223232124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135370996992).

102223232124 is an abundant number, since it is smaller than the sum of its proper divisors (168518761860).

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

102223232124 is a wasteful number, since it uses less digits than its factorization.

102223232124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28708 (or 28693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102223232124 its reverse (421232322201), we get a palindrome (523455554325).

The spelling of 102223232124 in words is "one hundred two billion, two hundred twenty-three million, two hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 41 43 52 78 82 86 123 129 156 164 169 172 246 258 338 492 507 516 533 559 676 1014 1066 1118 1599 1677 1763 2028 2132 2236 3198 3354 3526 5289 6396 6708 6929 7052 7267 10578 13858 14534 20787 21156 21801 22919 27716 28591 29068 41574 43602 45838 57182 68757 83148 85773 87204 91676 114364 137514 171546 275028 297947 343092 371683 595894 743366 893841 1115049 1172231 1191788 1229413 1486732 1787682 2230098 2344462 2458826 3516693 3575364 3688239 4460196 4688924 4831879 4917652 7033386 7376478 9663758 14066772 14495637 14752956 15239003 15982369 19327516 28991274 30478006 31964738 45717009 47947107 50405933 57982548 60956012 63929476 91434018 95894214 100811866 151217799 182868036 191788428 198107039 201623732 207770797 302435598 396214078 415541594 594321117 604871196 623312391 655277129 792428156 831083188 1188642234 1246624782 1310554258 1965831387 2377284468 2493249564 2621108516 3931662774 7863325548 8518602677 17037205354 25555808031 34074410708 51111616062 102223232124