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30185240121 = 3229219972
BaseRepresentation
bin11100000111001011…
…100011011000111001
32212220122212002001100
4130013023203120321
5443304410140441
621511130242013
72116006210341
oct340713433071
985818762040
1030185240121
111188a865743
125a24b86309
132b0088213a
141664ca7d21
15bba019cb6
hex7072e3639

30185240121 has 27 divisors (see below), whose sum is σ = 45178849261. Its totient is φ = 19419850464.

The previous prime is 30185240077. The next prime is 30185240153. The reversal of 30185240121 is 12104258103.

The square root of 30185240121 is 173739.

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

30185240121 is a `hidden beast` number, since 3 + 0 + 18 + 524 + 0 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9697325625 + 20487914496 = 98475^2 + 143136^2 .

It is not a de Polignac number, because 30185240121 - 211 = 30185238073 is a prime.

It is a super-2 number, since 2×301852401212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30185240821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15114295 + ... + 15116291.

Almost surely, 230185240121 is an apocalyptic number.

30185240121 is the 173739-th square number.

30185240121 is the 86870-th centered octagonal number.

It is an amenable number.

30185240121 is a deficient number, since it is larger than the sum of its proper divisors (14993609140).

30185240121 is an frugal number, since it uses more digits than its factorization.

30185240121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 30185240121 its reverse (12104258103), we get a palindrome (42289498224).

The spelling of 30185240121 in words is "thirty billion, one hundred eighty-five million, two hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 29 87 261 841 1997 2523 5991 7569 17973 57913 173739 521217 1679477 3988009 5038431 11964027 15115293 35892081 115652261 346956783 1040870349 3353915569 10061746707 30185240121