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30370381441 = 23275772
BaseRepresentation
bin11100010010001101…
…110011111010000001
32220101120020020012021
4130102031303322001
5444144304201231
621541342401441
72123414661061
oct342215637201
986346206167
1030370381441
111197531a0a4
125a76b90281
132b3003620a
1416816dd3a1
15bcb3db811
hex712373e81

30370381441 has 9 divisors (see below), whose sum is σ = 31752434371. Its totient is φ = 29046096112.

The previous prime is 30370381429. The next prime is 30370381471. The reversal of 30370381441 is 14418307303.

The square root of 30370381441 is 174271.

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

It can be written as a sum of positive squares in only one way, i.e., 200081025 + 30170300416 = 14145^2 + 173696^2 .

It is not a de Polignac number, because 30370381441 - 25 = 30370381409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30370381397 and 30370381406.

It is not an unprimeable number, because it can be changed into a prime (30370381471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4004445 + ... + 4012021.

Almost surely, 230370381441 is an apocalyptic number.

30370381441 is the 174271-st square number.

30370381441 is the 87136-th centered octagonal number.

It is an amenable number.

30370381441 is a deficient number, since it is larger than the sum of its proper divisors (1382052930).

30370381441 is an frugal number, since it uses more digits than its factorization.

30370381441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15200 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

Adding to 30370381441 its reverse (14418307303), we get a palindrome (44788688744).

The spelling of 30370381441 in words is "thirty billion, three hundred seventy million, three hundred eighty-one thousand, four hundred forty-one".

Divisors: 1 23 529 7577 174271 4008233 57410929 1320451367 30370381441