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102414413224 = 23281369112343
BaseRepresentation
bin101111101100001011…
…1111110110110101000
3100210100102210020112201
41133120113332312220
53134221042210344
6115014252145544
710253632102054
oct1373027766650
9323312706481
10102414413224
113a4852a2532
1217a224682b4
139871aa3916
144d57992c64
1529e61ab4d4
hex17d85feda8

102414413224 has 32 divisors (see below), whose sum is σ = 192778223040. Its totient is φ = 51007017600.

The previous prime is 102414413209. The next prime is 102414413249. The reversal of 102414413224 is 422314414201.

It is a junction number, because it is equal to n+sod(n) for n = 102414413192 and 102414413201.

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 7 ways as a sum of consecutive naturals, for example, 8291197 + ... + 8303539.

It is an arithmetic number, because the mean of its divisors is an integer number (6024319470).

Almost surely, 2102414413224 is an apocalyptic number.

It is an amenable number.

102414413224 is a deficient number, since it is larger than the sum of its proper divisors (90363809816).

102414413224 is a wasteful number, since it uses less digits than its factorization.

102414413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321 (or 16317 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 102414413224 its reverse (422314414201), we get a palindrome (524728827425).

The spelling of 102414413224 in words is "one hundred two billion, four hundred fourteen million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 281 562 1124 2248 3691 7382 12343 14764 24686 29528 49372 98744 1037171 2074342 3468383 4148684 6936766 8297368 13873532 27747064 45558013 91116026 182232052 364464104 12801801653 25603603306 51207206612 102414413224