Search a number
-
+
30111321101121 = 32134129321423601
BaseRepresentation
bin1101101100010110101101…
…00110010001001101000001
310221121121120201222121220100
412312023112212101031001
512421320441200213441
6144012541104433013
76225320415213351
oct666132646211501
9127547521877810
1030111321101121
11965a159840a77
123463938618769
1313a56405517a0
14761577bc4b61
153733e7d7dcb6
hex1b62d6991341

30111321101121 has 48 divisors (see below), whose sum is σ = 48146032024272. Its totient is φ = 18016390656000.

The previous prime is 30111321101107. The next prime is 30111321101209. The reversal of 30111321101121 is 12110112311103.

30111321101121 is a `hidden beast` number, since 301 + 1 + 1 + 321 + 10 + 11 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7109896940721 + 23001424160400 = 2666439^2 + 4795980^2 .

It is not a de Polignac number, because 30111321101121 - 210 = 30111321100097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30111321101094 and 30111321101103.

It is not an unprimeable number, because it can be changed into a prime (30111321181121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9306280 + ... + 12117321.

It is an arithmetic number, because the mean of its divisors is an integer number (1003042333839).

Almost surely, 230111321101121 is an apocalyptic number.

It is an amenable number.

30111321101121 is a deficient number, since it is larger than the sum of its proper divisors (18034710923151).

30111321101121 is a wasteful number, since it uses less digits than its factorization.

30111321101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21423954 (or 21423951 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 30111321101121 its reverse (12110112311103), we get a palindrome (42221433412224).

The spelling of 30111321101121 in words is "thirty trillion, one hundred eleven billion, three hundred twenty-one million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 41 117 123 293 369 533 879 1599 2637 3809 4797 11427 12013 34281 36039 108117 156169 468507 1405521 21423601 64270803 192812409 278506813 835520439 878367641 2506561317 2635102923 6277115093 7905308769 11418779333 18831345279 34256337999 56494035837 81602496209 102769013997 244807488627 257361718813 734422465881 772085156439 2316255469317 3345702344569 10037107033707 30111321101121