Search a number
-
+
101212101201211 = 721121343148920509
BaseRepresentation
bin10111000000110101000111…
…010101101100110100111011
3111021100210010100120100120121
4113000311013111230310323
5101231224340401414321
6555132110350034111
730214222135306300
oct2700650725546473
9437323110510517
10101212101201211
112a2818a1596900
12b4276bbaa8937
13446234c839930
141adc99857d0a7
15ba7b5ba6b441
hex5c0d4756cd3b

101212101201211 has 144 divisors (see below), whose sum is σ = 142711554770400. Its totient is φ = 71055672145920.

The previous prime is 101212101201151. The next prime is 101212101201217. The reversal of 101212101201211 is 112102101212101.

It is not a de Polignac number, because 101212101201211 - 27 = 101212101201083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101212101201217) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4934998825 + ... + 4935019333.

Almost surely, 2101212101201211 is an apocalyptic number.

101212101201211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101212101201211 is a deficient number, since it is larger than the sum of its proper divisors (41499453569189).

101212101201211 is a wasteful number, since it uses less digits than its factorization.

101212101201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22090 (or 22072 counting only the distinct ones).

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

Adding to 101212101201211 its reverse (112102101212101), we get a palindrome (213314202413312).

The spelling of 101212101201211 in words is "one hundred one trillion, two hundred twelve billion, one hundred one million, two hundred one thousand, two hundred eleven".

Divisors: 1 7 11 13 43 49 77 91 121 143 301 473 539 559 637 847 1001 1489 1573 2107 3311 3913 5203 5929 6149 7007 10423 11011 16379 19357 20509 23177 27391 36421 43043 64027 67639 72961 77077 114653 135499 143563 180169 212927 225599 254947 266617 301301 448189 473473 704297 802571 832351 881887 948493 1004941 1261183 1490489 1579193 1866319 2342197 2481589 2932787 3137323 3314311 4930079 5826457 6173209 7747267 8828281 9155861 9700757 10433423 11054351 11464531 13064233 16395379 17371123 20529509 30537901 32260657 34510553 40785199 43212463 54230869 64091027 67905299 80251717 100714471 106708327 114767653 121597861 126109841 143706563 213765307 225824599 335916911 379616083 396992713 448637189 475337093 561762019 705001297 746958289 882768887 1313129743 1387208251 1496357149 1580772193 2351418377 2778948991 3695086021 4366919843 4935009079 5228708023 6179382209 9191908201 9710457757 14444427173 16459928639 17070686659 19452642937 25865602147 30568438901 48036118273 64343357407 67973204299 101110990211 119494806613 158888698903 181059215029 187777553249 213979072307 336252827911 707776931477 836463646291 1112220892321 1314442872743 2065553085739 2353769795377 7785546246247 9201100109201 14458871600173 101212101201211