Search a number
-
+
212201020211110 = 257431011514622561
BaseRepresentation
bin110000001111111011100110…
…011011100011111110100110
31000211100012220221200221101221
4300033323212123203332212
5210303200142133223420
62031151445232210554
762461006046043460
oct6017734633437646
91024305827627357
10212201020211110
1161682a46927027
121b971b90399a5a
139153616463338
143a58826db3130
15197ec7eca8caa
hexc0fee66e3fa6

212201020211110 has 128 divisors (see below), whose sum is σ = 454089723107328. Its totient is φ = 69893107200000.

The previous prime is 212201020211093. The next prime is 212201020211111. The reversal of 212201020211110 is 11112020102212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201020211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43594230 + ... + 48216790.

It is an arithmetic number, because the mean of its divisors is an integer number (3547575961776).

Almost surely, 2212201020211110 is an apocalyptic number.

212201020211110 is an abundant number, since it is smaller than the sum of its proper divisors (241888702896218).

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

212201020211110 is a wasteful number, since it uses less digits than its factorization.

212201020211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622870.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212201020211110 its reverse (11112020102212), we get a palindrome (223313040313322).

The spelling of 212201020211110 in words is "two hundred twelve trillion, two hundred one billion, twenty million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 101 151 202 215 301 302 430 505 602 707 755 1010 1057 1414 1505 1510 2114 3010 3535 4343 5285 6493 7070 8686 10570 12986 15251 21715 30401 30502 32465 43430 45451 60802 64930 76255 90902 106757 152005 152510 213514 227255 304010 454510 533785 655793 1067570 1311586 3278965 4590551 4622561 6557930 9181102 9245122 22952755 23112805 32357927 45905510 46225610 64715854 161789635 198770123 323579270 397540246 466878661 698006711 933757322 993850615 1391390861 1396013422 1987701230 2334393305 2782781722 3268150627 3490033555 4668786610 4886046977 6536301254 6956954305 6980067110 9772093954 13913908610 16340753135 20075782423 24430234885 30014288573 32681506270 40151564846 48860469770 60028577146 70498677811 100378912115 140530476961 140997355622 150071442865 200757824230 210100020011 281060953922 300142885730 352493389055 420200040022 493490744677 702652384805 704986778110 986981489354 1050500100055 1405304769610 2101000200110 2467453723385 3031443145873 4934907446770 6062886291746 15157215729365 21220102021111 30314431458730 42440204042222 106100510105555 212201020211110