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13431103020 = 22335199124987
BaseRepresentation
bin11001000001000111…
…00101111000101100
31021200000222201122000
430200203211320230
5210001330244040
610100431052300
7653556330516
oct144043457054
937600881560
1013431103020
115772564545
12272a071090
1313607b334a
14915b08bb6
1553920b130
hex3208e5e2c

13431103020 has 96 divisors (see below), whose sum is σ = 41995968000. Its totient is φ = 3563600832.

The previous prime is 13431103013. The next prime is 13431103033. The reversal of 13431103020 is 2030113431.

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

It is a junction number, because it is equal to n+sod(n) for n = 13431102984 and 13431103002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44967 + ... + 169953.

It is an arithmetic number, because the mean of its divisors is an integer number (437458000).

Almost surely, 213431103020 is an apocalyptic number.

13431103020 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 13431103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20997984000).

13431103020 is an abundant number, since it is smaller than the sum of its proper divisors (28564864980).

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

13431103020 is a wasteful number, since it uses less digits than its factorization.

13431103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125204 (or 125196 counting only the distinct ones).

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

Adding to 13431103020 its reverse (2030113431), we get a palindrome (15461216451).

The spelling of 13431103020 in words is "thirteen billion, four hundred thirty-one million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 199 270 398 540 597 796 995 1194 1791 1990 2388 2985 3582 3980 5373 5970 7164 8955 10746 11940 17910 21492 26865 35820 53730 107460 124987 249974 374961 499948 624935 749922 1124883 1249870 1499844 1874805 2249766 2499740 3374649 3749610 4499532 5624415 6749298 7499220 11248830 13498596 16873245 22497660 24872413 33746490 49744826 67492980 74617239 99489652 124362065 149234478 223851717 248724130 298468956 373086195 447703434 497448260 671555151 746172390 895406868 1119258585 1343110302 1492344780 2238517170 2686220604 3357775755 4477034340 6715551510 13431103020