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10112110320 = 2435139733413
BaseRepresentation
bin10010110101011101…
…01000111011110000
3222002201201102120110
421122232220323300
5131202200012240
64351225341320
7505405343124
oct113256507360
928081642513
1010112110320
11431a028174
121b62637840
13c51cb1240
146bcdc7584
153e2b55c80
hex25aba8ef0

10112110320 has 160 divisors (see below), whose sum is σ = 34107941952. Its totient is φ = 2463399936.

The previous prime is 10112110291. The next prime is 10112110321. The reversal of 10112110320 is 2301121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10112110296 and 10112110305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112110321) 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, 285934 + ... + 319346.

Almost surely, 210112110320 is an apocalyptic number.

10112110320 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 10112110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053970976).

10112110320 is an abundant number, since it is smaller than the sum of its proper divisors (23995831632).

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

10112110320 is a wasteful number, since it uses less digits than its factorization.

10112110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33539 (or 33533 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10112110320 its reverse (2301121101), we get a palindrome (12413231421).

The spelling of 10112110320 in words is "ten billion, one hundred twelve million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 97 104 120 130 156 194 195 208 240 260 291 312 388 390 485 520 582 624 776 780 970 1040 1164 1261 1455 1552 1560 1940 2328 2522 2910 3120 3783 3880 4656 5044 5820 6305 7566 7760 10088 11640 12610 15132 18915 20176 23280 25220 30264 33413 37830 50440 60528 66826 75660 100239 100880 133652 151320 167065 200478 267304 302640 334130 400956 434369 501195 534608 668260 801912 868738 1002390 1303107 1336520 1603824 1737476 2004780 2171845 2606214 2673040 3241061 3474952 4009560 4343690 5212428 6482122 6515535 6949904 8019120 8687380 9723183 10424856 12964244 13031070 16205305 17374760 19446366 20849712 25928488 26062140 32410610 34749520 38892732 42133793 48615915 51856976 52124280 64821220 77785464 84267586 97231830 104248560 126401379 129642440 155570928 168535172 194463660 210668965 252802758 259284880 337070344 388927320 421337930 505605516 632006895 674140688 777854640 842675860 1011211032 1264013790 1685351720 2022422064 2528027580 3370703440 5056055160 10112110320