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10112121110 = 2571324594519
BaseRepresentation
bin10010110101011101…
…01011100100010110
3222002201201222101002
421122232223210112
5131202200333420
64351225503302
7505405416440
oct113256534426
928081658332
1010112121110
11431a035293
121b62641b32
13c51cb6120
146bcdcb490
153e2b59075
hex25abab916

10112121110 has 64 divisors (see below), whose sum is σ = 22416307200. Its totient is φ = 3198310272.

The previous prime is 10112121109. The next prime is 10112121133. The reversal of 10112121110 is 1112121101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10112121091 and 10112121100.

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, 2235431 + ... + 2239949.

It is an arithmetic number, because the mean of its divisors is an integer number (350254800).

Almost surely, 210112121110 is an apocalyptic number.

10112121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10112121110 is an abundant number, since it is smaller than the sum of its proper divisors (12304186090).

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

10112121110 is a wasteful number, since it uses less digits than its factorization.

10112121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10112121110 its reverse (1112121101), we get a palindrome (11224242211).

Subtracting from 10112121110 its reverse (1112121101), we obtain a palindrome (9000000009).

The spelling of 10112121110 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 2459 4519 4918 9038 12295 17213 22595 24590 31633 31967 34426 45190 58747 63266 63934 86065 117494 158165 159835 172130 223769 293735 316330 319670 411229 447538 587470 822458 1118845 2056145 2237690 4112290 11112221 22224442 55561105 77785547 111122210 144458873 155571094 288917746 388927735 722294365 777855470 1011212111 1444588730 2022424222 5056060555 10112121110