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131231110212 = 2232234335910267
BaseRepresentation
bin111101000110111111…
…0111101010001000100
3110112201201111010100100
41322031332331101010
54122230131011322
6140141534044100
712324013013646
oct1721576752104
9415651433310
10131231110212
11507225a4494
1221525049630
13c4b4c6c407
1464ccbb6896
153630e96dac
hex1e8dfbd444

131231110212 has 144 divisors (see below), whose sum is σ = 355216942080. Its totient is φ = 40750928064.

The previous prime is 131231110183. The next prime is 131231110237. The reversal of 131231110212 is 212011132131.

131231110212 is a `hidden beast` number, since 1 + 312 + 31 + 110 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 12776703 + ... + 12786969.

It is an arithmetic number, because the mean of its divisors is an integer number (2466784320).

Almost surely, 2131231110212 is an apocalyptic number.

131231110212 is a gapful number since it is divisible by the number (12) 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 131231110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177608471040).

131231110212 is an abundant number, since it is smaller than the sum of its proper divisors (223985831868).

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

131231110212 is a wasteful number, since it uses less digits than its factorization.

131231110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131231110212 its reverse (212011132131), we get a palindrome (343242242343).

The spelling of 131231110212 in words is "one hundred thirty-one billion, two hundred thirty-one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 359 387 414 516 718 774 828 989 1077 1436 1548 1978 2154 2967 3231 3956 4308 5934 6462 8257 8901 10267 11868 12924 15437 16514 17802 20534 24771 30801 30874 33028 35604 41068 46311 49542 61602 61748 74313 92403 92622 99084 123204 138933 148626 184806 185244 236141 277866 297252 355051 369612 441481 472282 555732 708423 710102 882962 944564 1065153 1324443 1416846 1420204 1765924 2125269 2130306 2648886 2833692 3195459 3685853 3973329 4250538 4260612 5297772 6390918 7371706 7946658 8501076 10154063 11057559 12781836 14743412 15893316 20308126 22115118 30462189 33172677 40616252 44230236 60924378 66345354 84774619 91386567 121848756 132690708 158491679 169549238 182773134 254323857 316983358 339098476 365546268 475475037 508647714 633966716 762971571 950950074 1017295428 1426425111 1525943142 1901900148 2852850222 3051886284 3645308617 5705700444 7290617234 10935925851 14581234468 21871851702 32807777553 43743703404 65615555106 131231110212