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2430124125 = 353111345317
BaseRepresentation
bin1001000011011000…
…1100000001011101
320021100201002121020
42100312030001131
514434102433000
61041045554353
7114135466662
oct22066140135
96240632536
102430124125
111037818250
12579a159b9
132c9605290
14190a61a69
15e3526ba0
hex90d8c05d

2430124125 has 64 divisors (see below), whose sum is σ = 4750776576. Its totient is φ = 1087584000.

The previous prime is 2430124117. The next prime is 2430124139. The reversal of 2430124125 is 5214210342.

It is not a de Polignac number, because 2430124125 - 23 = 2430124117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2430124095 and 2430124104.

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 63 ways as a sum of consecutive naturals, for example, 30967 + ... + 76283.

It is an arithmetic number, because the mean of its divisors is an integer number (74230884).

Almost surely, 22430124125 is an apocalyptic number.

2430124125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2430124125 is a deficient number, since it is larger than the sum of its proper divisors (2320652451).

2430124125 is a wasteful number, since it uses less digits than its factorization.

2430124125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45359 (or 45349 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2430124125 is about 49296.2891605443. The cubic root of 2430124125 is about 1344.4443147035. Note that the first 3 decimals are identical.

Adding to 2430124125 its reverse (5214210342), we get a palindrome (7644334467).

The spelling of 2430124125 in words is "two billion, four hundred thirty million, one hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 125 143 165 195 275 325 375 429 715 825 975 1375 1625 2145 3575 4125 4875 10725 17875 45317 53625 135951 226585 498487 589121 679755 1132925 1495461 1767363 2492435 2945605 3398775 5664625 6480331 7477305 8836815 12462175 14728025 16993875 19440993 32401655 37386525 44184075 62310875 73640125 97204965 162008275 186932625 220920375 486024825 810041375 2430124125