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110031213123100 = 2252712827263933
BaseRepresentation
bin11001000001001010100011…
…010111110101011000011100
3112102120212210102112201112101
4121001022203113311120130
5103410222411024414400
61030003350321214444
732114331014631463
oct3101124327653034
9472525712481471
10110031213123100
1132071a803335a5
1210410952791424
134951b8baa3c79
141d257795339da
15cac26eaba56a
hex6412a35f561c

110031213123100 has 108 divisors (see below), whose sum is σ = 242471781328392. Its totient is φ = 43339957001600.

The previous prime is 110031213123077. The next prime is 110031213123109. The reversal of 110031213123100 is 1321312130011.

It is a super-2 number, since 2×1100312131231002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110031213123109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416758734 + ... + 417022666.

It is an arithmetic number, because the mean of its divisors is an integer number (2245109086374).

Almost surely, 2110031213123100 is an apocalyptic number.

110031213123100 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 110031213123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121235890664196).

110031213123100 is an abundant number, since it is smaller than the sum of its proper divisors (132440568205292).

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

110031213123100 is a wasteful number, since it uses less digits than its factorization.

110031213123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264916 (or 264838 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 110031213123100 its reverse (1321312130011), we get a palindrome (111352525253111).

The spelling of 110031213123100 in words is "one hundred ten trillion, thirty-one billion, two hundred thirteen million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 827 1420 1654 1775 3308 3550 4135 5041 7100 8270 10082 16540 20164 20675 25205 41350 50410 58717 82700 100820 117434 126025 234868 252050 263933 293585 504100 527866 587170 1055732 1174340 1319665 1467925 2639330 2935850 4168907 5278660 5871700 6598325 8337814 13196650 16675628 18739243 20844535 26393300 37478486 41689070 74956972 83378140 93696215 104222675 187392430 208445350 218272591 374784860 416890700 436545182 468481075 873090364 936962150 1091362955 1330486253 1873924300 2182725910 2660972506 4365451820 5321945012 5456814775 6652431265 10913629550 13304862530 15497353961 21827259100 26609725060 30994707922 33262156325 61989415844 66524312650 77486769805 133048625300 154973539610 309947079220 387433849025 774867698050 1100312131231 1549735396100 2200624262462 4401248524924 5501560656155 11003121312310 22006242624620 27507803280775 55015606561550 110031213123100