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213230032202000 = 24531149811194581
BaseRepresentation
bin110000011110111001111100…
…010100110010100100010000
31000221222120222120022012120002
4300132321330110302210100
5210422030101220431000
62033300305142305132
762625234655461362
oct6036717424624420
91027876876265502
10213230032202000
1161a3a3923120a0
121bab94aa4281a8
1391c96761c4898
143a92562558d32
15199b9085358d5
hexc1ee7c532910

213230032202000 has 160 divisors (see below), whose sum is σ = 562476238466688. Its totient is φ = 77536238400000.

The previous prime is 213230032201981. The next prime is 213230032202093. The reversal of 213230032202000 is 202230032312.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1095744710 + ... + 1095939290.

Almost surely, 2213230032202000 is an apocalyptic number.

213230032202000 is a gapful number since it is divisible by the number (20) 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 213230032202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281238119233344).

213230032202000 is an abundant number, since it is smaller than the sum of its proper divisors (349246206264688).

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

213230032202000 is a wasteful number, since it uses less digits than its factorization.

213230032202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244426 (or 244410 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 213230032202000 its reverse (202230032312), we get a palindrome (213432262234312).

The spelling of 213230032202000 in words is "two hundred thirteen trillion, two hundred thirty billion, thirty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 49811 99622 194581 199244 249055 389162 398488 498110 547921 778324 796976 972905 996220 1095842 1245275 1556648 1945810 1992440 2140391 2191684 2490550 2739605 3113296 3891620 3984880 4280782 4383368 4864525 4981100 5479210 6226375 7783240 8561564 8766736 9729050 9962200 10701955 10958420 12452750 13698025 15566480 17123128 19458100 19924400 21403910 21916840 24322625 24905500 27396050 34246256 38916200 42807820 43833680 48645250 49811000 53509775 54792100 68490125 77832400 85615640 97290500 99622000 107019550 109584200 136980250 171231280 194581000 214039100 219168400 267548875 273960500 389162000 428078200 535097750 547921000 856156400 1070195500 1095842000 2140391000 4280782000 9692274191 19384548382 38769096764 48461370955 77538193528 96922741910 106615016101 155076387056 193845483820 213230032202 242306854775 387690967640 426460064404 484613709550 533075080505 775381935280 852920128808 969227419100 1066150161010 1211534273875 1705840257616 1938454838200 2132300322020 2423068547750 2665375402525 3876909676400 4264600644040 4846137095500 5330750805050 8529201288080 9692274191000 10661501610100 13326877012625 19384548382000 21323003220200 26653754025250 42646006440400 53307508050500 106615016101000 213230032202000