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10112010210 = 2325177279091
BaseRepresentation
bin10010110101011100…
…10000011111100010
3222002201112100020200
421122232100133202
5131202133311320
64351223250030
7505404445221
oct113256203742
928081470220
1010112010210
114319a69a35
121b625a9916
13c51c777c3
146bcd9ccb8
153e2b36290
hex25ab907e2

10112010210 has 96 divisors (see below), whose sum is σ = 27879126912. Its totient is φ = 2534146560.

The previous prime is 10112010173. The next prime is 10112010217. The reversal of 10112010210 is 1201021101.

It is a happy number.

10112010210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10112010192 and 10112010201.

It is not an unprimeable number, because it can be changed into a prime (10112010217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107765 + ... + 1116855.

It is an arithmetic number, because the mean of its divisors is an integer number (290407572).

Almost surely, 210112010210 is an apocalyptic number.

10112010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939563456).

10112010210 is an abundant number, since it is smaller than the sum of its proper divisors (17767116702).

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

10112010210 is a wasteful number, since it uses less digits than its factorization.

10112010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112010210 its reverse (1201021101), we get a palindrome (11313031311).

The spelling of 10112010210 in words is "ten billion, one hundred twelve million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 727 765 1454 1530 2181 3635 4362 6543 7270 9091 10905 12359 13086 18182 21810 24718 27273 32715 37077 45455 54546 61795 65430 74154 81819 90910 111231 123590 136365 154547 163638 185385 222462 272730 309094 370770 409095 463641 556155 772735 818190 927282 1112310 1390923 1545470 2318205 2781846 4636410 6609157 6954615 13218314 13909230 19827471 33045785 39654942 59482413 66091570 99137355 112355669 118964826 198274710 224711338 297412065 337067007 561778345 594824130 674134014 1011201021 1123556690 1685335035 2022402042 3370670070 5056005105 10112010210