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10302431130 = 23251915871021
BaseRepresentation
bin10011001100001001…
…01001111110011010
3222120222211201122100
421212010221332122
5132044410244010
64422144504230
7513206135235
oct114604517632
928528751570
1010302431130
1144074a9aa2
121bb631b076
13c825599c4
146da3aa41c
154046ec2c0
hex266129f9a

10302431130 has 96 divisors (see below), whose sum is σ = 26998852608. Its totient is φ = 2725603200.

The previous prime is 10302431119. The next prime is 10302431149. The reversal of 10302431130 is 3113420301.

10302431130 is a `hidden beast` number, since 103 + 0 + 2 + 431 + 130 = 666.

10302431130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103024311302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 10090020 + ... + 10091040.

It is an arithmetic number, because the mean of its divisors is an integer number (281238048).

Almost surely, 210302431130 is an apocalyptic number.

10302431130 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 10302431130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499426304).

10302431130 is an abundant number, since it is smaller than the sum of its proper divisors (16696421478).

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

10302431130 is a wasteful number, since it uses less digits than its factorization.

10302431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10302431130 its reverse (3113420301), we get a palindrome (13415851431).

The spelling of 10302431130 in words is "ten billion, three hundred two million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 587 955 1021 1146 1174 1719 1761 1910 2042 2865 2935 3063 3438 3522 5105 5283 5730 5870 6126 8595 8805 9189 10210 10566 15315 17190 17610 18378 26415 30630 45945 52830 91890 112117 195011 224234 336351 390022 560585 585033 599327 672702 975055 1009053 1121170 1170066 1198654 1681755 1755099 1797981 1950110 2018106 2925165 2996635 3363510 3510198 3595962 5045265 5393943 5850330 5993270 8775495 8989905 10090530 10787886 17550990 17979810 26969715 53939430 114471457 228942914 343414371 572357285 686828742 1030243113 1144714570 1717071855 2060486226 3434143710 5151215565 10302431130