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10242125 = 5381937
BaseRepresentation
bin100111000100…
…100001001101
3201021100112222
4213010201031
510110222000
61003305125
7153025265
oct47044115
921240488
1010242125
115866073
12351b1a5
132177b3a
1415087a5
15d74a85
hex9c484d

10242125 has 8 divisors (see below), whose sum is σ = 12782328. Its totient is φ = 8193600.

The previous prime is 10242101. The next prime is 10242131. The reversal of 10242125 is 52124201.

10242125 = T152 + T153 + ... + T401.

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 10220809 = 146^2 + 3197^2 .

It is a de Polignac number, because none of the positive numbers 2k-10242125 is a prime.

It is a super-2 number, since 2×102421252 = 209802249031250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40844 + ... + 41093.

It is an arithmetic number, because the mean of its divisors is an integer number (1597791).

Almost surely, 210242125 is an apocalyptic number.

It is an amenable number.

10242125 is a deficient number, since it is larger than the sum of its proper divisors (2540203).

10242125 is an frugal number, since it uses more digits than its factorization.

10242125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81952 (or 81942 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 10242125 is about 3200.3320140260. The cubic root of 10242125 is about 217.1684294799.

Adding to 10242125 its reverse (52124201), we get a palindrome (62366326).

The spelling of 10242125 in words is "ten million, two hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 125 81937 409685 2048425 10242125