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131221222000 = 24531129320357
BaseRepresentation
bin111101000110101100…
…1001111001001110000
3110112201000212202021021
41322031121033021300
54122220113101000
6140140542105224
712323532661231
oct1721531171160
9415630782237
10131221222000
1150717a60310
122152187b214
13c4b2bb96bb
1464cb761088
15363019211a
hex1e8d64f270

131221222000 has 160 divisors (see below), whose sum is σ = 347336144064. Its totient is φ = 47551616000.

The previous prime is 131221221997. The next prime is 131221222081. The reversal of 131221222000 is 222122131.

It is a happy number.

131221222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6435822 + ... + 6456178.

Almost surely, 2131221222000 is an apocalyptic number.

131221222000 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 131221222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173668072032).

131221222000 is an abundant number, since it is smaller than the sum of its proper divisors (216114922064).

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

131221222000 is a wasteful number, since it uses less digits than its factorization.

131221222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20684 (or 20668 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 131221222000 its reverse (222122131), we get a palindrome (131443344131).

The spelling of 131221222000 in words is "one hundred thirty-one billion, two hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 293 400 440 500 550 586 880 1000 1100 1172 1375 1465 2000 2200 2344 2750 2930 3223 4400 4688 5500 5860 6446 7325 11000 11720 12892 14650 16115 20357 22000 23440 25784 29300 32230 36625 40714 51568 58600 64460 73250 80575 81428 101785 117200 128920 146500 161150 162856 203570 223927 257840 293000 322300 325712 402875 407140 447854 508925 586000 644600 805750 814280 895708 1017850 1119635 1289200 1611500 1628560 1791416 2035700 2239270 2544625 3223000 3582832 4071400 4478540 5089250 5598175 5964601 6446000 8142800 8957080 10178500 11196350 11929202 17914160 20357000 22392700 23858404 27990875 29823005 40714000 44785400 47716808 55981750 59646010 65610611 89570800 95433616 111963500 119292020 131221222 149115025 223927000 238584040 262442444 298230050 328053055 447854000 477168080 524884888 596460100 656106110 745575125 1049769776 1192920200 1312212220 1491150250 1640265275 2385840400 2624424440 2982300500 3280530550 5248848880 5964601000 6561061100 8201326375 11929202000 13122122200 16402652750 26244244400 32805305500 65610611000 131221222000