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2410144121 = 71183937307
BaseRepresentation
bin1000111110100111…
…1110000101111001
320012222010000012002
42033221332011321
514413444102441
61035053430345
7113503613150
oct21751760571
96188100162
102410144121
111027510a50
1257319b3b5
132c542aca8
1418c140597
15e18cbb9b
hex8fa7e179

2410144121 has 16 divisors (see below), whose sum is σ = 3008517120. Its totient is φ = 1875745680.

The previous prime is 2410144097. The next prime is 2410144127. The reversal of 2410144121 is 1214410142.

It is a cyclic number.

It is not a de Polignac number, because 2410144121 - 222 = 2405949817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2410144093 and 2410144102.

It is not an unprimeable number, because it can be changed into a prime (2410144127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45950 + ... + 83256.

It is an arithmetic number, because the mean of its divisors is an integer number (188032320).

Almost surely, 22410144121 is an apocalyptic number.

It is an amenable number.

2410144121 is a deficient number, since it is larger than the sum of its proper divisors (598372999).

2410144121 is a wasteful number, since it uses less digits than its factorization.

2410144121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38164.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2410144121 is about 49093.2186864948. The cubic root of 2410144121 is about 1340.7495845091.

Adding to 2410144121 its reverse (1214410142), we get a palindrome (3624554263).

The spelling of 2410144121 in words is "two billion, four hundred ten million, one hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 7 11 77 839 5873 9229 37307 64603 261149 410377 2872639 31300573 219104011 344306303 2410144121