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102422400100443 = 3241278999522223
BaseRepresentation
bin10111010010011100010010…
…110001100110100001011011
3111102122111010011110202100100
4113102130102301212201123
5101411042033411203233
61001500111231510443
730400526361230523
oct2722342261464133
9442574104422310
10102422400100443
112a6a910678a365
12b5a2192688423
13451c510a15847
141b413b07d4683
15bc93959a7813
hex5d2712c6685b

102422400100443 has 24 divisors (see below), whose sum is σ = 151606184708160. Its totient is φ = 66592309184640.

The previous prime is 102422400100441. The next prime is 102422400100477. The reversal of 102422400100443 is 344001004224201.

102422400100443 is a `hidden beast` number, since 1 + 0 + 242 + 2 + 400 + 10 + 0 + 4 + 4 + 3 = 666.

It is not a de Polignac number, because 102422400100443 - 21 = 102422400100441 is a prime.

It is a super-3 number, since 3×1024224001004433 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102422400100441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48731971 + ... + 50790252.

It is an arithmetic number, because the mean of its divisors is an integer number (6316924362840).

Almost surely, 2102422400100443 is an apocalyptic number.

102422400100443 is a deficient number, since it is larger than the sum of its proper divisors (49183784607717).

102422400100443 is a wasteful number, since it uses less digits than its factorization.

102422400100443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99525059 (or 99525056 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102422400100443 its reverse (344001004224201), we get a palindrome (446423404324644).

The spelling of 102422400100443 in words is "one hundred two trillion, four hundred twenty-two billion, four hundred million, one hundred thousand, four hundred forty-three".

Divisors: 1 3 9 41 123 369 2789 8367 25101 114349 343047 1029141 99522223 298566669 895700007 4080411143 12241233429 36723700287 277567479947 832702439841 2498107319523 11380266677827 34140800033481 102422400100443