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102429737341 = 3131181277097
BaseRepresentation
bin101111101100101001…
…0011100000101111101
3100210101111121210021121
41133121102130011331
53134234003043331
6115020000430541
710254206254561
oct1373122340575
9323344553247
10102429737341
113a492a09798
1217a27618451
13987500a949
144d59a216a1
1529e76d6c11
hex17d949c17d

102429737341 has 8 divisors (see below), whose sum is σ = 102844368504. Its totient is φ = 102015663360.

The previous prime is 102429737327. The next prime is 102429737381. The reversal of 102429737341 is 143737924201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128913316 + 102300824025 = 11354^2 + 319845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102429737341 - 231 = 100282253693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102429737381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231105 + ... + 508201.

It is an arithmetic number, because the mean of its divisors is an integer number (12855546063).

Almost surely, 2102429737341 is an apocalyptic number.

It is an amenable number.

102429737341 is a deficient number, since it is larger than the sum of its proper divisors (414631163).

102429737341 is a wasteful number, since it uses less digits than its factorization.

102429737341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278591.

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 102429737341 in words is "one hundred two billion, four hundred twenty-nine million, seven hundred thirty-seven thousand, three hundred forty-one".

Divisors: 1 313 1181 277097 369653 86731361 327251557 102429737341