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10130144123 = 1137318181
BaseRepresentation
bin10010110111100110…
…11011101101111011
3222010222122122022002
421123303123231323
5131221304102443
64353112051215
7506014542611
oct113363335573
928128578262
1010130144123
114329225240
121b68693b0b
13c55956728
146c155d6b1
153e45192b8
hex25bcdbb7b

10130144123 has 16 divisors (see below), whose sum is σ = 11358659040. Its totient is φ = 8959831200.

The previous prime is 10130144099. The next prime is 10130144131. The reversal of 10130144123 is 32144103101.

It is not a de Polignac number, because 10130144123 - 28 = 10130143867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10130144095 and 10130144104.

It is not an unprimeable number, because it can be changed into a prime (10130144023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 548093 + ... + 566273.

It is an arithmetic number, because the mean of its divisors is an integer number (709916190).

Almost surely, 210130144123 is an apocalyptic number.

10130144123 is a deficient number, since it is larger than the sum of its proper divisors (1228514917).

10130144123 is an frugal number, since it uses more digits than its factorization.

10130144123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18303 (or 18229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10130144123 its reverse (32144103101), we get a palindrome (42274247224).

The spelling of 10130144123 in words is "ten billion, one hundred thirty million, one hundred forty-four thousand, one hundred twenty-three".

Divisors: 1 11 37 407 1369 15059 18181 50653 199991 557183 672697 7399667 24889789 273787679 920922193 10130144123