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102414103308 = 223211223511043
BaseRepresentation
bin101111101100001011…
…0110011001100001100
3100210100102012111102100
41133120112303030030
53134221002301213
6115014241355100
710253626341366
oct1373026631414
9323312174370
10102414103308
113a485100700
1217a22338a90
1398719c583a
144d57911d36
1529e6149773
hex17d85b330c

102414103308 has 54 divisors (see below), whose sum is σ = 284554165532. Its totient is φ = 31034575440.

The previous prime is 102414103307. The next prime is 102414103321. The reversal of 102414103308 is 803301414201.

102414103308 is a `hidden beast` number, since 1 + 0 + 241 + 410 + 3 + 3 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (102414103303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11751166 + ... + 11759877.

Almost surely, 2102414103308 is an apocalyptic number.

102414103308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102414103308 is an abundant number, since it is smaller than the sum of its proper divisors (182140062224).

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

102414103308 is a wasteful number, since it uses less digits than its factorization.

102414103308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23511075 (or 23511059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 102414103308 its reverse (803301414201), we get a palindrome (905715517509).

The spelling of 102414103308 in words is "one hundred two billion, four hundred fourteen million, one hundred three thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 23511043 47022086 70533129 94044172 141066258 211599387 258621473 282132516 423198774 517242946 775864419 846397548 1034485892 1551728838 2327593257 2844836203 3103457676 4655186514 5689672406 8534508609 9310373028 11379344812 17069017218 25603525827 34138034436 51207051654 102414103308