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102340013430 = 23517832417671
BaseRepresentation
bin101111101001111110…
…0001010110101110110
3100210011020210100012210
41133103330022311312
53134043020412210
6115003033354250
710252036522044
oct1372374126566
9323136710183
10102340013430
113a4472a68a6
1217a01568986
13985c554585
144d4bb47394
1529de8b1e20
hex17d3f0ad76

102340013430 has 64 divisors (see below), whose sum is σ = 263197444608. Its totient is φ = 25375864320.

The previous prime is 102340013417. The next prime is 102340013483. The reversal of 102340013430 is 34310043201.

It is a junction number, because it is equal to n+sod(n) for n = 102340013397 and 102340013406.

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 31 ways as a sum of consecutive naturals, for example, 1166506 + ... + 1251165.

It is an arithmetic number, because the mean of its divisors is an integer number (4112460072).

Almost surely, 2102340013430 is an apocalyptic number.

102340013430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102340013430 is an abundant number, since it is smaller than the sum of its proper divisors (160857431178).

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

102340013430 is a wasteful number, since it uses less digits than its factorization.

102340013430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417781.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102340013430 its reverse (34310043201), we get a palindrome (136650056631).

The spelling of 102340013430 in words is "one hundred two billion, three hundred forty million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 83 85 102 166 170 249 255 415 498 510 830 1245 1411 2490 2822 4233 7055 8466 14110 21165 42330 2417671 4835342 7253013 12088355 14506026 24176710 36265065 41100407 72530130 82200814 123301221 200666693 205502035 246602442 401333386 411004070 602000079 616506105 1003333465 1204000158 1233012210 2006666930 3010000395 3411333781 6020000790 6822667562 10234001343 17056668905 20468002686 34113337810 51170006715 102340013430