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10300010010 = 23519112316091
BaseRepresentation
bin10011001011110110…
…11010111000011010
3222120211021201111020
421211323122320122
5132043300310020
64422020543310
7513146432463
oct114573327032
928524251436
1010300010010
1144060a5a74
121bb5551b36
13c81bbc9a4
146d9d39d6a
154043bec40
hex265edae1a

10300010010 has 64 divisors (see below), whose sum is σ = 26045867520. Its totient is φ = 2599629120.

The previous prime is 10300009969. The next prime is 10300010027. The reversal of 10300010010 is 1001000301.

It is a super-2 number, since 2×103000100102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 632065 + ... + 648155.

It is an arithmetic number, because the mean of its divisors is an integer number (406966680).

Almost surely, 210300010010 is an apocalyptic number.

10300010010 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 10300010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022933760).

10300010010 is an abundant number, since it is smaller than the sum of its proper divisors (15745857510).

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

10300010010 is a wasteful number, since it uses less digits than its factorization.

10300010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17243.

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10300010010 its reverse (1001000301), we get a palindrome (11301010311).

The spelling of 10300010010 in words is "ten billion, three hundred million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1123 2246 3369 5615 6738 11230 16091 16845 21337 32182 33690 42674 48273 64011 80455 96546 106685 128022 160910 213370 241365 305729 320055 482730 611458 640110 917187 1528645 1834374 3057290 4585935 9171870 18070193 36140386 54210579 90350965 108421158 180701930 271052895 343333667 542105790 686667334 1030001001 1716668335 2060002002 3433336670 5150005005 10300010010