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10466123130 = 233538763419
BaseRepresentation
bin10011011111101010…
…00101110101111010
31000000101212010212000
421233311011311322
5132413311420010
64450313201430
7520234402341
oct115765056572
930011763760
1010466123130
114490943241
122041100276
13caa440a88
1471401ab58
15413c837c0
hex26fd45d7a

10466123130 has 32 divisors (see below), whose sum is σ = 27909662400. Its totient is φ = 2790966096.

The previous prime is 10466123093. The next prime is 10466123147. The reversal of 10466123130 is 3132166401.

10466123130 is a `hidden beast` number, since 1 + 0 + 46 + 612 + 3 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10466123094 and 10466123103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19381440 + ... + 19381979.

It is an arithmetic number, because the mean of its divisors is an integer number (872176950).

Almost surely, 210466123130 is an apocalyptic number.

10466123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10466123130 is an abundant number, since it is smaller than the sum of its proper divisors (17443539270).

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

10466123130 is a wasteful number, since it uses less digits than its factorization.

10466123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38763435 (or 38763429 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10466123130 its reverse (3132166401), we get a palindrome (13598289531).

The spelling of 10466123130 in words is "ten billion, four hundred sixty-six million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 38763419 77526838 116290257 193817095 232580514 348870771 387634190 581451285 697741542 1046612313 1162902570 1744353855 2093224626 3488707710 5233061565 10466123130