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10010132010 = 2335257144259
BaseRepresentation
bin10010101001010011…
…00111111000101010
3221211121211101122000
421110221213320222
5131000043211020
64333143511430
7503026501224
oct112451477052
927747741560
1010010132010
11427750537a
121b34458576
13c36b27148
146ad63d414
153d8c10090
hex254a67e2a

10010132010 has 64 divisors (see below), whose sum is σ = 26797737600. Its totient is φ = 2658963456.

The previous prime is 10010132003. The next prime is 10010132023. The reversal of 10010132010 is 1023101001.

10010132010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010131983 and 10010132001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2740 + ... + 141519.

It is an arithmetic number, because the mean of its divisors is an integer number (418714650).

Almost surely, 210010132010 is an apocalyptic number.

10010132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398868800).

10010132010 is an abundant number, since it is smaller than the sum of its proper divisors (16787605590).

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

10010132010 is a wasteful number, since it uses less digits than its factorization.

10010132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144532 (or 144526 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10010132010 its reverse (1023101001), we get a palindrome (11033233011).

The spelling of 10010132010 in words is "ten billion, ten million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 257 270 514 771 1285 1542 2313 2570 3855 4626 6939 7710 11565 13878 23130 34695 69390 144259 288518 432777 721295 865554 1298331 1442590 2163885 2596662 3894993 4327770 6491655 7789986 12983310 19474965 37074563 38949930 74149126 111223689 185372815 222447378 333671067 370745630 556118445 667342134 1001013201 1112236890 1668355335 2002026402 3336710670 5005066005 10010132010