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102348020567 = 1359731827937
BaseRepresentation
bin101111101010001101…
…0101101101101010111
3100210011210212010221102
41133110122231231113
53134102043124232
6115003521140315
710252164551342
oct1372432555527
9323153763842
10102348020567
113a450875771
1217a0418a69b
1398610c9020
144d4cc2d459
1529e0444662
hex17d46adb57

102348020567 has 16 divisors (see below), whose sum is σ = 113624626080. Its totient is φ = 91601528832.

The previous prime is 102348020527. The next prime is 102348020623. The reversal of 102348020567 is 765020843201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102348020567 - 214 = 102348004183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102348020567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102348020507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 857978 + ... + 969959.

It is an arithmetic number, because the mean of its divisors is an integer number (7101539130).

Almost surely, 2102348020567 is an apocalyptic number.

102348020567 is a deficient number, since it is larger than the sum of its proper divisors (11276605513).

102348020567 is a wasteful number, since it uses less digits than its factorization.

102348020567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828082.

The product of its (nonzero) digits is 80640, while the sum is 38.

Adding to 102348020567 its reverse (765020843201), we get a palindrome (867368863768).

The spelling of 102348020567 in words is "one hundred two billion, three hundred forty-eight million, twenty thousand, five hundred sixty-seven".

Divisors: 1 13 59 73 767 949 4307 55991 1827937 23763181 107848283 133439401 1402027679 1734712213 7872924659 102348020567