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102331220300224 = 2617676389219721
BaseRepresentation
bin10111010001000111011000…
…000010010001000111000000
3111102022202202200120222120121
4113101013120002101013000
5101403043314344101344
61001350151424150024
730361121014556266
oct2721073002210700
9442282680528517
10102331220300224
112a6734770a9973
12b588586768314
134513a3c652436
141b3ac00d44436
15bc6d0ac80684
hex5d11d80911c0

102331220300224 has 112 divisors (see below), whose sum is σ = 218252657463840. Its totient is φ = 47429483397120.

The previous prime is 102331220300219. The next prime is 102331220300263. The reversal of 102331220300224 is 422003022133201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465622684 + ... + 465842404.

Almost surely, 2102331220300224 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 102331220300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109126328731920).

102331220300224 is an abundant number, since it is smaller than the sum of its proper divisors (115921437163616).

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

102331220300224 is a wasteful number, since it uses less digits than its factorization.

102331220300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226206 (or 226196 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 102331220300224 its reverse (422003022133201), we get a palindrome (524334242433425).

The spelling of 102331220300224 in words is "one hundred two trillion, three hundred thirty-one billion, two hundred twenty million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 134 136 268 272 536 544 1072 1088 1139 2144 2278 4288 4556 6389 9112 12778 18224 25556 36448 51112 72896 102224 108613 204448 217226 219721 408896 428063 434452 439442 856126 868904 878884 1712252 1737808 1757768 3424504 3475616 3515536 3735257 6849008 6951232 7031072 7277071 7470514 13698016 14062144 14554142 14721307 14941028 27396032 29108284 29442614 29882056 58216568 58885228 59764112 116433136 117770456 119528224 232866272 235540912 239056448 250262219 465732544 471081824 500524438 942163648 1001048876 1403797469 2002097752 2807594938 4004195504 5615189876 8008391008 11230379752 16016782016 22460759504 23864556973 44921519008 47729113946 89843038016 94054430423 95458227892 188108860846 190916455784 376217721692 381832911568 752435443384 763665823136 1504870886768 1527331646272 1598925317191 3009741773536 3197850634382 6019483547072 6395701268764 12791402537528 25582805075056 51165610150112 102331220300224