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102133104 = 24317911887
BaseRepresentation
bin1100001011001…
…10110101110000
321010011220021120
412011212311300
5202121224404
614045022240
72350055103
oct605466560
9233156246
10102133104
1152719127
122a254980
131820c6b8
14d7c873a
158e769d9
hex6166d70

102133104 has 40 divisors (see below), whose sum is σ = 265340160. Its totient is φ = 33851328.

The previous prime is 102133081. The next prime is 102133111. The reversal of 102133104 is 401331201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2649 + ... + 14535.

It is an arithmetic number, because the mean of its divisors is an integer number (6633504).

Almost surely, 2102133104 is an apocalyptic number.

It is an amenable number.

102133104 is an abundant number, since it is smaller than the sum of its proper divisors (163207056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102133104 is a wasteful number, since it uses less digits than its factorization.

102133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102133104 is about 10106.0924199218. The cubic root of 102133104 is about 467.4360216336.

Adding to 102133104 its reverse (401331201), we get a palindrome (503464305).

The spelling of 102133104 in words is "one hundred two million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 11887 23774 35661 47548 71322 95096 142644 190192 285288 570576 2127773 4255546 6383319 8511092 12766638 17022184 25533276 34044368 51066552 102133104