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210112122122122 = 21129268334694793
BaseRepresentation
bin101111110001100010001010…
…011001101110111110001010
31000112221112010001102021001111
4233301202022121232332022
5210014434111230401442
62022512102032440534
762154046154204413
oct5761421231567612
91015845101367044
10210112122122122
1160a48061365210
121b6951786a914a
13903164647945c
1439c56a3b0080a
151945772561b17
hexbf188a66ef8a

210112122122122 has 96 divisors (see below), whose sum is σ = 356783089590720. Its totient is φ = 92031457943040.

The previous prime is 210112122122117. The next prime is 210112122122143. The reversal of 210112122122122 is 221221221211012.

It is a super-3 number, since 3×2101121221221223 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 210112122122093 and 210112122122102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43837285758 + ... + 43837290550.

It is an arithmetic number, because the mean of its divisors is an integer number (3716490516570).

Almost surely, 2210112122122122 is an apocalyptic number.

210112122122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210112122122122 is a deficient number, since it is larger than the sum of its proper divisors (146670967468598).

210112122122122 is a wasteful number, since it uses less digits than its factorization.

210112122122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 210112122122122 its reverse (221221221211012), we get a palindrome (431333343333134).

The spelling of 210112122122122 in words is "two hundred ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 29 58 319 638 683 841 1366 1682 3469 4793 6938 7513 9251 9586 15026 18502 19807 38159 39614 52723 76318 100601 105446 138997 201202 217877 277994 435754 574403 1106611 1148806 1528967 2213222 2369327 2917429 3057934 3273619 4030913 4738654 5834858 6318433 6547238 8061826 12636866 16626917 26062597 32091719 33253834 36009809 44340043 52125194 64183438 68710483 72019618 88680086 94934951 137420966 182896087 189869902 365792174 482180593 755815313 964361186 1044284461 1511630626 1992604007 2088568922 2753113579 3985208014 5303986523 5506227158 10607973046 11356184311 13983237197 21918644077 22712368622 27966474394 30284249369 43837288154 60568498738 124918027421 153815609167 249836054842 307631218334 329329345019 658658690038 3622622795209 7245245590418 9550551005551 19101102011102 105056061061061 210112122122122