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12102200110 = 25711132634597
BaseRepresentation
bin10110100010101100…
…01110101100101110
31011020102102110112201
423101112032230232
5144241130400420
65320520052114
7605622001150
oct132126165456
934212373481
1012102200110
115150416080
12241900403a
1311ab398870
1482b422ad0
154ac70c10a
hex2d158eb2e

12102200110 has 128 divisors (see below), whose sum is σ = 29365991424. Its totient is φ = 3467957760.

The previous prime is 12102200087. The next prime is 12102200113. The reversal of 12102200110 is 1100220121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102200113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2630332 + ... + 2634928.

It is an arithmetic number, because the mean of its divisors is an integer number (229421808).

Almost surely, 212102200110 is an apocalyptic number.

12102200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12102200110 is an abundant number, since it is smaller than the sum of its proper divisors (17263791314).

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

12102200110 is a wasteful number, since it uses less digits than its factorization.

12102200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898.

The product of its (nonzero) digits is 8, while the sum is 10.

Subtracting from 12102200110 its sum of digits (10), we obtain a square (12102200100 = 1100102).

Adding to 12102200110 its reverse (1100220121), we get a palindrome (13202420231).

It can be divided in two parts, 12102 and 200110, that added together give a palindrome (212212).

The spelling of 12102200110 in words is "twelve billion, one hundred two million, two hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 263 286 385 455 526 715 770 910 1001 1315 1430 1841 2002 2630 2893 3419 3682 4597 5005 5786 6838 9194 9205 10010 14465 17095 18410 20251 22985 23933 28930 32179 34190 37609 40502 45970 47866 50567 59761 64358 75218 101134 101255 119522 119665 160895 188045 202510 239330 252835 263263 298805 321790 353969 376090 418327 505670 526526 597610 657371 707938 836654 1209011 1314742 1316315 1769845 2091635 2418022 2632630 3286855 3539690 4183270 4601597 6045055 6573710 8463077 9203194 12090110 13299121 15717143 16926154 23007985 26598242 31434286 42315385 46015970 66495605 78585715 84630770 93093847 110020001 132991210 157171430 172888573 186187694 220040002 345777146 465469235 550100005 864442865 930938470 1100200010 1210220011 1728885730 2420440022 6051100055 12102200110