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102010305 = 3531219377
BaseRepresentation
bin1100001010010…
…00110111000001
321002221122211110
412011020313001
5202103312210
614042233533
72346034065
oct605106701
9232848743
10102010305
1152644941
122a1b58a9
1318198837
14d795aa5
158e50420
hex6148dc1

102010305 has 16 divisors (see below), whose sum is σ = 168482304. Its totient is φ = 52650240.

The previous prime is 102010301. The next prime is 102010309. The reversal of 102010305 is 503010201.

It is an interprime number because it is at equal distance from previous prime (102010301) and next prime (102010309).

It is not a de Polignac number, because 102010305 - 22 = 102010301 is a prime.

It is a super-2 number, since 2×1020103052 = 20812204652386050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109224 + ... + 110153.

It is an arithmetic number, because the mean of its divisors is an integer number (10530144).

Almost surely, 2102010305 is an apocalyptic number.

102010305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102010305 is a deficient number, since it is larger than the sum of its proper divisors (66471999).

102010305 is a wasteful number, since it uses less digits than its factorization.

102010305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219416.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102010305 is about 10100.0150989986. The cubic root of 102010305 is about 467.2486070598.

Adding to 102010305 its reverse (503010201), we get a palindrome (605020506).

It can be divided in two parts, 1020 and 10305, that added together give a triangular number (11325 = T150).

The spelling of 102010305 in words is "one hundred two million, ten thousand, three hundred five".

Divisors: 1 3 5 15 31 93 155 465 219377 658131 1096885 3290655 6800687 20402061 34003435 102010305