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10412241320 = 23513109718253
BaseRepresentation
bin10011011001001111…
…00011000110101000
3222212122110122220102
421230213203012220
5132311013210240
64441110244532
7516011406455
oct115447430650
928778418812
1010412241320
114463491018
122027056748
13c9c226850
1470abd282c
1540e18d815
hex26c9e31a8

10412241320 has 64 divisors (see below), whose sum is σ = 25254043920. Its totient is φ = 3840804864.

The previous prime is 10412241313. The next prime is 10412241337. The reversal of 10412241320 is 2314221401.

It can be written as a sum of positive squares in 8 ways, for example, as 17623204 + 10394618116 = 4198^2 + 101954^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10412241292 and 10412241301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561314 + ... + 579566.

Almost surely, 210412241320 is an apocalyptic number.

10412241320 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 10412241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627021960).

10412241320 is an abundant number, since it is smaller than the sum of its proper divisors (14841802600).

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

10412241320 is a wasteful number, since it uses less digits than its factorization.

10412241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19374 (or 19370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10412241320 its reverse (2314221401), we get a palindrome (12726462721).

The spelling of 10412241320 in words is "ten billion, four hundred twelve million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1097 2194 4388 5485 8776 10970 14261 18253 21940 28522 36506 43880 57044 71305 73012 91265 114088 142610 146024 182530 237289 285220 365060 474578 570440 730120 949156 1186445 1898312 2372890 4745780 9491560 20023541 40047082 80094164 100117705 160188328 200235410 260306033 400470820 520612066 800941640 1041224132 1301530165 2082448264 2603060330 5206120660 10412241320