Search a number
-
+
30112210201032 = 2332418225141681
BaseRepresentation
bin1101101100011000010111…
…00101111010100111001000
310221121200212200222120200200
412312030023211322213020
512421324301302413112
6144013205225132200
76225351432353361
oct666141345724710
9127550780876620
1030112210201032
11965a5756a8993
123463b4632a060
1313a57527cc9cb
1476161dd04b68
1537344ae55cdc
hex1b630b97a9c8

30112210201032 has 24 divisors (see below), whose sum is σ = 81553902627990. Its totient is φ = 10037403400320.

The previous prime is 30112210201027. The next prime is 30112210201067. The reversal of 30112210201032 is 23010201221103.

30112210201032 is a `hidden beast` number, since 301 + 122 + 10 + 201 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29701039417956 + 411170783076 = 5449866^2 + 641226^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×301122102010322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30112210200996 and 30112210201014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209112570769 + ... + 209112570912.

Almost surely, 230112210201032 is an apocalyptic number.

It is an amenable number.

30112210201032 is an abundant number, since it is smaller than the sum of its proper divisors (51441692426958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30112210201032 is a wasteful number, since it uses less digits than its factorization.

30112210201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418225141693 (or 418225141686 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30112210201032 its reverse (23010201221103), we get a palindrome (53122411422135).

The spelling of 30112210201032 in words is "thirty trillion, one hundred twelve billion, two hundred ten million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 418225141681 836450283362 1254675425043 1672900566724 2509350850086 3345801133448 3764026275129 5018701700172 7528052550258 10037403400344 15056105100516 30112210201032