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124525000161 = 34392092
BaseRepresentation
bin111001111111001000…
…1001011010111100001
3102220102100202102210000
41303332101023113201
54020011400001121
6133112254530213
711665563015462
oct1637621132741
9386370672700
10124525000161
11488a1130781
1220173206969
13b986805163
1460542bcd69
15338c381526
hex1cfe44b5e1

124525000161 has 15 divisors (see below), whose sum is σ = 186023571811. Its totient is φ = 83014549488.

The previous prime is 124525000139. The next prime is 124525000169. The reversal of 124525000161 is 161000525421.

The square root of 124525000161 is 352881.

It is a perfect power (a square), and thus also a powerful number.

124525000161 is a `hidden beast` number, since 1 + 2 + 452 + 50 + 0 + 0 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119495353761 + 5029646400 = 345681^2 + 70920^2 .

It is not a de Polignac number, because 124525000161 - 25 = 124525000129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124525000169) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3156325 + ... + 3195533.

Almost surely, 2124525000161 is an apocalyptic number.

124525000161 is the 352881-st square number.

124525000161 is the 176441-st centered octagonal number.

It is an amenable number.

124525000161 is a deficient number, since it is larger than the sum of its proper divisors (61498571650).

124525000161 is an frugal number, since it uses more digits than its factorization.

124525000161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78430 (or 39212 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 124525000161 its reverse (161000525421), we get a palindrome (285525525582).

The spelling of 124525000161 in words is "one hundred twenty-four billion, five hundred twenty-five million, one hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 9 27 81 39209 117627 352881 1058643 3175929 1537345681 4612037043 13836111129 41508333387 124525000161