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213041203301440 = 26517199196793899
BaseRepresentation
bin110000011100001010000101…
…001111101100110001000000
31000221022112120202102011121101
4300130022011033230301000
5210410431341021121230
62033033435551504144
762605501422345403
oct6034120517546100
91027275522364541
10213041203301440
11619772a3322288
121ba8898bb28054
1391b49123a8927
143a8736bd65d3a
151996a55b9baca
hexc1c2853ecc40

213041203301440 has 112 divisors (see below), whose sum is σ = 539845026480000. Its totient is φ = 79800712814592.

The previous prime is 213041203301383. The next prime is 213041203301441. The reversal of 213041203301440 is 44103302140312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213041203301399 and 213041203301408.

It is not an unprimeable number, because it can be changed into a prime (213041203301441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97314390 + ... + 99479509.

Almost surely, 2213041203301440 is an apocalyptic number.

213041203301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213041203301440 is an abundant number, since it is smaller than the sum of its proper divisors (326803823178560).

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

213041203301440 is a wasteful number, since it uses less digits than its factorization.

213041203301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196794132 (or 196794122 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213041203301440 its reverse (44103302140312), we get a palindrome (257144505441752).

The spelling of 213041203301440 in words is "two hundred thirteen trillion, forty-one billion, two hundred three million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 199 272 320 340 398 544 680 796 995 1088 1360 1592 1990 2720 3184 3383 3980 5440 6368 6766 7960 12736 13532 15920 16915 27064 31840 33830 54128 63680 67660 108256 135320 216512 270640 541280 1082560 196793899 393587798 787175596 983969495 1574351192 1967938990 3148702384 3345496283 3935877980 6297404768 6690992566 7871755960 12594809536 13381985132 15743511920 16727481415 26763970264 31487023840 33454962830 39161985901 53527940528 62974047680 66909925660 78323971802 107055881056 133819851320 156647943604 195809929505 214111762112 267639702640 313295887208 391619859010 535279405280 626591774416 665753760317 783239718020 1070558810560 1253183548832 1331507520634 1566479436040 2506367097664 2663015041268 3132958872080 3328768801585 5326030082536 6265917744160 6657537603170 10652060165072 12531835488320 13315075206340 21304120330144 26630150412680 42608240660288 53260300825360 106520601650720 213041203301440