Search a number
-
+
30221023013028 = 22323871321684521
BaseRepresentation
bin1101101111100011000010…
…10101110110100010100100
310222000002202001111011021200
412313301201111312202210
512430120123342404103
6144135202445242500
76236253060116331
oct667614125664244
9128002661434250
1030221023013028
1196a17336a3091
123481053563430
1313b2aa406cbb3
147669c3571988
153761b8be40a3
hex1b7c615768a4

30221023013028 has 36 divisors (see below), whose sum is σ = 76394007208428. Its totient is φ = 10073413658880.

The previous prime is 30221023012967. The next prime is 30221023013081. The reversal of 30221023013028 is 82031032012203.

It is a happy number.

30221023013028 is a `hidden beast` number, since 30 + 2 + 21 + 0 + 2 + 301 + 302 + 8 = 666.

30221023013028 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22967653681764 + 7253369331264 = 4792458^2 + 2693208^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×302210230130284 (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30221023012992 and 30221023013010.

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 11 ways as a sum of consecutive naturals, for example, 9448593 + ... + 12235928.

Almost surely, 230221023013028 is an apocalyptic number.

It is an amenable number.

30221023013028 is an abundant number, since it is smaller than the sum of its proper divisors (46172984195400).

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

30221023013028 is a wasteful number, since it uses less digits than its factorization.

30221023013028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21723244 (or 21723239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30221023013028 in words is "thirty trillion, two hundred twenty-one billion, twenty-three million, thirteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 38713 77426 116139 154852 232278 348417 464556 696834 1393668 21684521 43369042 65053563 86738084 130107126 195160689 260214252 390321378 780642756 839472861473 1678945722946 2518418584419 3357891445892 5036837168838 7555255753257 10073674337676 15110511506514 30221023013028