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102142224 = 2432709321
BaseRepresentation
bin1100001011010…
…01000100010000
321010012100210100
412011221010100
5202122022344
614045132400
72350123512
oct605510420
9233170710
10102142224
1152724a68
122a25a100
13182138b2
14d7cbbb2
158e79569
hex6169110

102142224 has 30 divisors (see below), whose sum is σ = 285856766. Its totient is φ = 34047360.

The previous prime is 102142217. The next prime is 102142247. The reversal of 102142224 is 422241201.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 535824 = 10080^2 + 732^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102142197 and 102142206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354517 + ... + 354804.

Almost surely, 2102142224 is an apocalyptic number.

It is an amenable number.

102142224 is an abundant number, since it is smaller than the sum of its proper divisors (183714542).

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

102142224 is a wasteful number, since it uses less digits than its factorization.

102142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709335 (or 709326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102142224 is about 10106.5436228218. The cubic root of 102142224 is about 467.4499344901.

Adding to 102142224 its reverse (422241201), we get a palindrome (524383425).

The spelling of 102142224 in words is "one hundred two million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 709321 1418642 2127963 2837284 4255926 5674568 6383889 8511852 11349136 12767778 17023704 25535556 34047408 51071112 102142224