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213043104402000 = 2435370695022943
BaseRepresentation
bin110000011100001011110110…
…100011110100101001010000
31000221022201111020200002022020
4300130023312203310221100
5210410444234211331000
62033034352343011440
762605566505420545
oct6034136643645120
91027281436602266
10213043104402000
116197808945a274
121ba89220739b80
1391b4b562063c2
143a874ac638bcc
151996b17a25ba0
hexc1c2f68f4a50

213043104402000 has 160 divisors (see below), whose sum is σ = 686948269163520. Its totient is φ = 56803446489600.

The previous prime is 213043104401957. The next prime is 213043104402001. The reversal of 213043104402000 is 204401340312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213043104402001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39902529 + ... + 44925471.

It is an arithmetic number, because the mean of its divisors is an integer number (4293426682272).

Almost surely, 2213043104402000 is an apocalyptic number.

213043104402000 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 213043104402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343474134581760).

213043104402000 is an abundant number, since it is smaller than the sum of its proper divisors (473905164761520).

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

213043104402000 is a wasteful number, since it uses less digits than its factorization.

213043104402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030038 (or 5030022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213043104402000 its reverse (204401340312), we get a palindrome (213247505742312).

The spelling of 213043104402000 in words is "two hundred thirteen trillion, forty-three billion, one hundred four million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 7069 14138 21207 28276 35345 42414 56552 70690 84828 106035 113104 141380 169656 176725 212070 282760 339312 353450 424140 530175 565520 706900 848280 883625 1060350 1413800 1696560 1767250 2120700 2650875 2827600 3534500 4241400 5022943 5301750 7069000 8482800 10045886 10603500 14138000 15068829 20091772 21207000 25114715 30137658 40183544 42414000 50229430 60275316 75344145 80367088 100458860 120550632 125573575 150688290 200917720 241101264 251147150 301376580 376720725 401835440 502294300 602753160 627867875 753441450 1004588600 1205506320 1255735750 1506882900 1883603625 2009177200 2511471500 3013765800 3767207250 5022943000 6027531600 7534414500 10045886000 15068829000 30137658000 35507184067 71014368134 106521552201 142028736268 177535920335 213043104402 284057472536 355071840670 426086208804 532607761005 568114945072 710143681340 852172417608 887679601675 1065215522010 1420287362680 1704344835216 1775359203350 2130431044020 2663038805025 2840574725360 3550718406700 4260862088040 4438398008375 5326077610050 7101436813400 8521724176080 8876796016750 10652155220100 13315194025125 14202873626800 17753592033500 21304310440200 26630388050250 35507184067000 42608620880400 53260776100500 71014368134000 106521552201000 213043104402000