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30131123121 = 3311531999619
BaseRepresentation
bin11100000011111101…
…000111001110110001
32212202220000122111000
4130003331013032301
5443202031414441
621501514312213
72114451215001
oct340375071661
985686018430
1030131123121
1111862262850
125a0aa28669
132ac25b4b48
14165ba1c001
15bb53ca2b6
hex703f473b1

30131123121 has 64 divisors (see below), whose sum is σ = 49870080000. Its totient is φ = 17824847040.

The previous prime is 30131123107. The next prime is 30131123161. The reversal of 30131123121 is 12132113103.

30131123121 is a `hidden beast` number, since 301 + 311 + 2 + 31 + 21 = 666.

It is not a de Polignac number, because 30131123121 - 25 = 30131123089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30131123094 and 30131123103.

It is not an unprimeable number, because it can be changed into a prime (30131123101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3127650 + ... + 3137268.

It is an arithmetic number, because the mean of its divisors is an integer number (779220000).

Almost surely, 230131123121 is an apocalyptic number.

It is an amenable number.

30131123121 is a deficient number, since it is larger than the sum of its proper divisors (19738956879).

30131123121 is a wasteful number, since it uses less digits than its factorization.

30131123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30131123121 its reverse (12132113103), we get a palindrome (42263236224).

The spelling of 30131123121 in words is "thirty billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 53 99 159 199 297 477 583 597 1431 1749 1791 2189 5247 5373 6567 9619 10547 15741 19701 28857 31641 59103 86571 94923 105809 116017 259713 284769 317427 348051 509807 952281 1044153 1529421 1914181 2856843 3132459 4588263 5607877 5742543 13764789 16823631 17227629 21055991 50470893 51682887 63167973 101451593 151412679 189503919 304354779 568511757 913064337 1115967523 2739193011 3347902569 10043707707 30131123121