Search a number
-
+
105441031212 = 223112947586057
BaseRepresentation
bin110001000110011000…
…1100111010000101100
3101002011100220100220020
41202030301213100230
53211420400444322
6120234451122140
710421632656156
oct1421461472054
9332140810806
10105441031212
1140798793410
1218527ba3350
139c34b4793a
145163927ad6
152b21c5c05c
hex188cc6742c

105441031212 has 96 divisors (see below), whose sum is σ = 283558302720. Its totient is φ = 30193605120.

The previous prime is 105441031193. The next prime is 105441031253. The reversal of 105441031212 is 212130144501.

It is a super-2 number, since 2×1054410312122 (a number of 23 digits) contains 22 as substring.

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, 113113 + ... + 472944.

It is an arithmetic number, because the mean of its divisors is an integer number (2953732320).

Almost surely, 2105441031212 is an apocalyptic number.

105441031212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105441031212 is an abundant number, since it is smaller than the sum of its proper divisors (178117271508).

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

105441031212 is a wasteful number, since it uses less digits than its factorization.

105441031212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586151 (or 586149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 105441031212 its reverse (212130144501), we get a palindrome (317571175713).

The spelling of 105441031212 in words is "one hundred five billion, four hundred forty-one million, thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 47 58 66 87 94 116 132 141 174 188 282 319 348 517 564 638 957 1034 1276 1363 1551 1914 2068 2726 3102 3828 4089 5452 6204 8178 14993 16356 29986 44979 59972 89958 179916 586057 1172114 1758171 2344228 3516342 6446627 7032684 12893254 16995653 19339881 25786508 27544679 33991306 38679762 50986959 55089358 67982612 77359524 82634037 101973918 110178716 165268074 186952183 203947836 302991469 330536148 373904366 560856549 605982938 747808732 798795691 908974407 1121713098 1211965876 1597591382 1817948814 2243426196 2396387073 3195182764 3635897628 4792774146 8786752601 9585548292 17573505202 26360257803 35147010404 52720515606 105441031212