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10313112220 = 22517192237159
BaseRepresentation
bin10011001101011010…
…11001101010011100
3222121201221101100021
421212231121222130
5132110124042340
64423205441524
7513366002365
oct114655315234
928551841307
1010313112220
114412534944
121bb9a102a4
13c84829588
146db98ab6c
1540560be4a
hex266b59a9c

10313112220 has 96 divisors (see below), whose sum is σ = 24250060800. Its totient is φ = 3661231104.

The previous prime is 10313112197. The next prime is 10313112317. The reversal of 10313112220 is 2221131301.

It is a junction number, because it is equal to n+sod(n) for n = 10313112194 and 10313112203.

It is a congruent number.

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, 1437001 + ... + 1444159.

It is an arithmetic number, because the mean of its divisors is an integer number (252604800).

Almost surely, 210313112220 is an apocalyptic number.

10313112220 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 10313112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125030400).

10313112220 is an abundant number, since it is smaller than the sum of its proper divisors (13936948580).

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

10313112220 is a wasteful number, since it uses less digits than its factorization.

10313112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7425 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10313112220 its reverse (2221131301), we get a palindrome (12534243521).

The spelling of 10313112220 in words is "ten billion, three hundred thirteen million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 223 323 340 380 446 646 892 1115 1292 1615 2230 3230 3791 4237 4460 6460 7159 7582 8474 14318 15164 16948 18955 21185 28636 35795 37910 42370 71590 72029 75820 84740 121703 136021 143180 144058 243406 272042 288116 360145 486812 544084 608515 680105 720290 1217030 1360210 1440580 1596457 2312357 2434060 2720420 3192914 4624714 6385828 7982285 9249428 11561785 15964570 23123570 27139769 30332683 31929140 46247140 54279538 60665366 108559076 121330732 135698845 151663415 271397690 303326830 515655611 542795380 606653660 1031311222 2062622444 2578278055 5156556110 10313112220