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10304131420 = 225111792331123
BaseRepresentation
bin10011001100010110…
…01001000101011100
3222121010001010000001
421212023021011130
5132100324201140
64422245144044
7513226446322
oct114613110534
928533033001
1010304131420
1144084604a0
121bb69bb024
13c82a038ab
146da6cdd12
15404935e9a
hex2662c915c

10304131420 has 96 divisors (see below), whose sum is σ = 23860811520. Its totient is φ = 3706728960.

The previous prime is 10304131417. The next prime is 10304131421. The reversal of 10304131420 is 2413140301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304131421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9174979 + ... + 9176101.

It is an arithmetic number, because the mean of its divisors is an integer number (248550120).

Almost surely, 210304131420 is an apocalyptic number.

10304131420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930405760).

10304131420 is an abundant number, since it is smaller than the sum of its proper divisors (13556680100).

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

10304131420 is a wasteful number, since it uses less digits than its factorization.

10304131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10304131420 its reverse (2413140301), we get a palindrome (12717271721).

The spelling of 10304131420 in words is "ten billion, three hundred four million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 233 358 466 716 895 932 1123 1165 1790 1969 2246 2330 2563 3580 3938 4492 4660 5126 5615 7876 9845 10252 11230 12353 12815 19690 22460 24706 25630 39380 41707 49412 51260 61765 83414 123530 166828 201017 208535 247060 261659 402034 417070 458777 523318 804068 834140 917554 1005085 1046636 1308295 1835108 2010170 2211187 2293885 2616590 2878249 4020340 4422374 4587770 5233180 5756498 8844748 9175540 11055935 11512996 14391245 22111870 28782490 44223740 46836961 57564980 93673922 187347844 234184805 468369610 515206571 936739220 1030413142 2060826284 2576032855 5152065710 10304131420