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2030405121 = 321012817949
BaseRepresentation
bin111100100000101…
…1000011000000001
312020111120021012200
41321001120120001
513124240430441
6533250343413
7101213105313
oct17101303001
95214507180
102030405121
11952124468
12487b8ab69
13264861864
141539317b3
15bd3bb7b6
hex79058601

2030405121 has 24 divisors (see below), whose sum is σ = 2972759400. Its totient is φ = 1335264000.

The previous prime is 2030405107. The next prime is 2030405129. The reversal of 2030405121 is 1215040302.

It can be written as a sum of positive squares in 4 ways, for example, as 973440000 + 1056965121 = 31200^2 + 32511^2 .

It is not a de Polignac number, because 2030405121 - 29 = 2030404609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2030405094 and 2030405103.

It is not an unprimeable number, because it can be changed into a prime (2030405129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251455 + ... + 259403.

It is an arithmetic number, because the mean of its divisors is an integer number (123864975).

Almost surely, 22030405121 is an apocalyptic number.

It is an amenable number.

2030405121 is a deficient number, since it is larger than the sum of its proper divisors (942354279).

2030405121 is a wasteful number, since it uses less digits than its factorization.

2030405121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2030405121 is about 45060.0168774935. The cubic root of 2030405121 is about 1266.2736412752.

Adding to 2030405121 its reverse (1215040302), we get a palindrome (3245445423).

The spelling of 2030405121 in words is "two billion, thirty million, four hundred five thousand, one hundred twenty-one".

Divisors: 1 3 9 101 281 303 843 909 2529 7949 23847 28381 71541 85143 255429 802849 2233669 2408547 6701007 7225641 20103021 225600569 676801707 2030405121