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420106125 = 3531765899
BaseRepresentation
bin11001000010100…
…100111110001101
31002021111121021010
4121002210332031
51330021344000
6105404155433
713260562125
oct3102447615
91067447233
10420106125
111a6158a4a
12b8838b79
136906110a
143db19c85
1526d35d50
hex190a4f8d

420106125 has 32 divisors (see below), whose sum is σ = 740188800. Its totient is φ = 210873600.

The previous prime is 420106081. The next prime is 420106129. The reversal of 420106125 is 521601024.

It is not a de Polignac number, because 420106125 - 26 = 420106061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420106129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26575 + ... + 39324.

It is an arithmetic number, because the mean of its divisors is an integer number (23130900).

Almost surely, 2420106125 is an apocalyptic number.

It is an amenable number.

420106125 is a deficient number, since it is larger than the sum of its proper divisors (320082675).

420106125 is a wasteful number, since it uses less digits than its factorization.

420106125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65934 (or 65924 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 420106125 is about 20496.4905532630. The cubic root of 420106125 is about 748.9503093292.

Adding to 420106125 its reverse (521601024), we get a palindrome (941707149).

The spelling of 420106125 in words is "four hundred twenty million, one hundred six thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 375 425 1275 2125 6375 65899 197697 329495 988485 1120283 1647475 3360849 4942425 5601415 8237375 16804245 24712125 28007075 84021225 140035375 420106125