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103680034367 = 71317371811353
BaseRepresentation
bin110000010001111001…
…1111100011000111111
3100220121122021110100212
41200203303330120333
53144314042044432
6115344022543035
710330200515450
oct1404363743077
9326548243325
10103680034367
113aa74749418
1218116297a7b
139a14062780
145037ac5127
152a6c35a2b2
hex1823cfc63f

103680034367 has 32 divisors (see below), whose sum is σ = 138764207232. Its totient is φ = 75120390144.

The previous prime is 103680034357. The next prime is 103680034379. The reversal of 103680034367 is 763430086301.

It is a cyclic number.

It is not a de Polignac number, because 103680034367 - 212 = 103680030271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103680034357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848438 + ... + 962915.

It is an arithmetic number, because the mean of its divisors is an integer number (4336381476).

Almost surely, 2103680034367 is an apocalyptic number.

103680034367 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

103680034367 is a deficient number, since it is larger than the sum of its proper divisors (35084172865).

103680034367 is a wasteful number, since it uses less digits than its factorization.

103680034367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811427.

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 103680034367 in words is "one hundred three billion, six hundred eighty million, thirty-four thousand, three hundred sixty-seven".

Divisors: 1 7 13 17 37 91 119 221 259 481 629 1547 3367 4403 8177 57239 1811353 12679471 23547589 30793001 67020061 164833123 215551007 400309013 469140427 871260793 1139341037 2802163091 6098825551 7975387259 14811433481 103680034367