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102345617 = 11611271201
BaseRepresentation
bin1100001100110…
…10101110010001
321010120200210102
412012122232101
5202200024432
614053342145
72351631503
oct606325621
9233520712
10102345617
1152853860
122a337955
131828534a
14d841d73
158eb9962
hex619ab91

102345617 has 16 divisors (see below), whose sum is σ = 114468864. Its totient is φ = 90720000.

The previous prime is 102345599. The next prime is 102345671. The reversal of 102345617 is 716543201.

It is a cyclic number.

It is not a de Polignac number, because 102345617 - 28 = 102345361 is a prime.

It is a super-2 number, since 2×1023456172 = 20949250638221378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102345617.

It is not an unprimeable number, because it can be changed into a prime (102345697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84617 + ... + 85817.

It is an arithmetic number, because the mean of its divisors is an integer number (7154304).

Almost surely, 2102345617 is an apocalyptic number.

It is an amenable number.

102345617 is a deficient number, since it is larger than the sum of its proper divisors (12123247).

102345617 is a wasteful number, since it uses less digits than its factorization.

102345617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 102345617 is about 10116.6010596445. The cubic root of 102345617 is about 467.7600021685.

Adding to 102345617 its reverse (716543201), we get a palindrome (818888818).

It can be divided in two parts, 10234 and 5617, that added together give a palindrome (15851).

The spelling of 102345617 in words is "one hundred two million, three hundred forty-five thousand, six hundred seventeen".

Divisors: 1 11 61 127 671 1201 1397 7747 13211 73261 85217 152527 805871 1677797 9304147 102345617