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102130424 = 231117233293
BaseRepresentation
bin1100001011001…
…10001011111000
321010011202121022
412011212023320
5202121133144
614045002012
72350044224
oct605461370
9233152538
10102130424
1152717110
122a253308
131820b406
14d7c7784
158e75cee
hex61662f8

102130424 has 64 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 43356160.

The previous prime is 102130403. The next prime is 102130451. The reversal of 102130424 is 424031201.

102130424 = T152 + T153 + ... + T850.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 15 ways as a sum of consecutive naturals, for example, 348422 + ... + 348714.

Almost surely, 2102130424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

102130424 is an abundant number, since it is smaller than the sum of its proper divisors (120768616).

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

102130424 is a wasteful number, since it uses less digits than its factorization.

102130424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102130424 is about 10105.9598257662. The cubic root of 102130424 is about 467.4319330491.

Adding to 102130424 its reverse (424031201), we get a palindrome (526161625).

The spelling of 102130424 in words is "one hundred two million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 233 293 374 466 586 748 932 1172 1496 1864 2344 2563 3223 3961 4981 5126 6446 7922 9962 10252 12892 15844 19924 20504 25784 31688 39848 43571 54791 68269 87142 109582 136538 174284 219164 273076 348568 438328 546152 750959 1160573 1501918 2321146 3003836 4642292 6007672 9284584 12766303 25532606 51065212 102130424