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102343013142030 = 23251319918759327
BaseRepresentation
bin10111010001010010010110…
…111100011000111000001110
3111102100220012112220102022100
4113101102112330120320032
5101403241442331021110
61001355421533455530
730362016162223263
oct2721222674307016
9442326175812270
10102343013142030
112a678478929521
12b58a9180415a6
134514b9b8c473b
141b3b5dd23926a
15bc729b230bc0
hex5d1496f18e0e

102343013142030 has 96 divisors (see below), whose sum is σ = 268393658277888. Its totient is φ = 27055806148800.

The previous prime is 102343013142011. The next prime is 102343013142113. The reversal of 102343013142030 is 30241310343201.

It is a happy number.

102343013142030 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 430 + 13 + 14 + 203 + 0 = 666.

102343013142030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102343013141985 and 102343013142003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7304227 + ... + 16063553.

It is an arithmetic number, because the mean of its divisors is an integer number (2795767273728).

Almost surely, 2102343013142030 is an apocalyptic number.

102343013142030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102343013142030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134196829138944).

102343013142030 is an abundant number, since it is smaller than the sum of its proper divisors (166050645135858).

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

102343013142030 is a wasteful number, since it uses less digits than its factorization.

102343013142030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760462 (or 8760459 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102343013142030 its reverse (30241310343201), we get a palindrome (132584323485231).

The spelling of 102343013142030 in words is "one hundred two trillion, three hundred forty-three billion, thirteen million, one hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 991 1179 1310 1965 1982 2358 2973 3930 4955 5895 5946 8919 9910 11790 14865 17838 29730 44595 89190 129821 259642 389463 649105 778926 1168389 1298210 1947315 2336778 3894630 5841945 8759327 11683890 17518654 26277981 43796635 52555962 78833943 87593270 131389905 157667886 262779810 394169715 788339430 1147471837 2294943674 3442415511 5737359185 6884831022 8680493057 10327246533 11474718370 17212077555 17360986114 20654493066 26041479171 34424155110 43402465285 51636232665 52082958342 78124437513 86804930570 103272465330 130207395855 156248875026 260414791710 390622187565 781244375130 1137144590467 2274289180934 3411433771401 5685722952335 6822867542802 10234301314203 11371445904670 17057168857005 20468602628406 34114337714010 51171506571015 102343013142030