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102405374329 = 19922585929
BaseRepresentation
bin101111101011111010…
…1100000000101111001
3100210022210210000111211
41133113311200011321
53134211233434304
6115013330323121
710253462214436
oct1372765400571
9323283700454
10102405374329
113a480189475
1217a1b4294a1
13986cc5a66b
144d566bcb8d
1529e54c3204
hex17d7d60179

102405374329 has 6 divisors (see below), whose sum is σ = 102922599930. Its totient is φ = 101890735056.

The previous prime is 102405374263. The next prime is 102405374347. The reversal of 102405374329 is 923473504201.

It can be written as a sum of positive squares in only one way, i.e., 54488164329 + 47917210000 = 233427^2 + 218900^2 .

It is not a de Polignac number, because 102405374329 - 29 = 102405373817 is a prime.

It is a super-2 number, since 2×1024053743292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102405374291 and 102405374300.

It is not an unprimeable number, because it can be changed into a prime (102405374429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1253364 + ... + 1332565.

It is an arithmetic number, because the mean of its divisors is an integer number (17153766655).

Almost surely, 2102405374329 is an apocalyptic number.

It is an amenable number.

102405374329 is a deficient number, since it is larger than the sum of its proper divisors (517225601).

102405374329 is an frugal number, since it uses more digits than its factorization.

102405374329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586327 (or 2586128 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 102405374329 in words is "one hundred two billion, four hundred five million, three hundred seventy-four thousand, three hundred twenty-nine".

Divisors: 1 199 39601 2585929 514599871 102405374329