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213133011243040 = 2557631301580557
BaseRepresentation
bin110000011101011111100101…
…011011001101000000100000
31000221122022120000020211100201
4300131133211123031000200
5210413432401334234130
62033143541554354544
762615231464103620
oct6035374533150040
91027568500224321
10213133011243040
1161a02225531689
121baa273228ba54
1391c048393b925
143a8b99b006880
15199912aaeebca
hexc1d7e56cd020

213133011243040 has 96 divisors (see below), whose sum is σ = 576371111871744. Its totient is φ = 72958368107520.

The previous prime is 213133011242947. The next prime is 213133011243049. The reversal of 213133011243040 is 40342110331312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (213133011243049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150083559 + ... + 151496998.

It is an arithmetic number, because the mean of its divisors is an integer number (6003865748664).

Almost surely, 2213133011243040 is an apocalyptic number.

213133011243040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213133011243040 is an abundant number, since it is smaller than the sum of its proper divisors (363238100628704).

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

213133011243040 is a wasteful number, since it uses less digits than its factorization.

213133011243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301581210 (or 301581202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 213133011243040 its reverse (40342110331312), we get a palindrome (253475121574352).

The spelling of 213133011243040 in words is "two hundred thirteen trillion, one hundred thirty-three billion, eleven million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 631 1120 1262 2524 3155 4417 5048 6310 8834 10096 12620 17668 20192 22085 25240 35336 44170 50480 70672 88340 100960 141344 176680 353360 706720 301580557 603161114 1206322228 1507902785 2111063899 2412644456 3015805570 4222127798 4825288912 6031611140 8444255596 9650577824 10555319495 12063222280 16888511192 21110638990 24126444560 33777022384 42221277980 48252889120 67554044768 84442555960 168885111920 190297331467 337770223840 380594662934 761189325868 951486657335 1332081320269 1522378651736 1902973314670 2664162640538 3044757303472 3805946629340 5328325281076 6089514606944 6660406601345 7611893258680 10656650562152 13320813202690 15223786517360 21313301124304 26641626405380 30447573034720 42626602248608 53283252810760 106566505621520 213133011243040