Search a number
-
+
2212110121110 = 2353783127189061
BaseRepresentation
bin100000001100001100000…
…010011011100010010110
321211110211202110102120120
4200030030002123202112
5242220400142333420
64412121313012410
7315551102533431
oct40141402334226
97743752412516
102212110121110
1178317254823a
122b887b254106
131307a7793586
14790d1056818
153c81e6c5d40
hex2030c09b896

2212110121110 has 128 divisors (see below), whose sum is σ = 5561726091264. Its totient is φ = 562569960960.

The previous prime is 2212110121087. The next prime is 2212110121159. The reversal of 2212110121110 is 111210112122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212110121110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11605980 + ... + 11795040.

It is an arithmetic number, because the mean of its divisors is an integer number (43450985088).

Almost surely, 22212110121110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212110121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780863045632).

2212110121110 is an abundant number, since it is smaller than the sum of its proper divisors (3349615970154).

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

2212110121110 is a wasteful number, since it uses less digits than its factorization.

2212110121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189318.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2212110121110 its reverse (111210112122), we get a palindrome (2323320233232).

It can be divided in two parts, 221211012 and 1110, that added together give a palindrome (221212122).

The spelling of 2212110121110 in words is "two trillion, two hundred twelve billion, one hundred ten million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 83 111 127 166 185 222 249 254 370 381 415 498 555 635 762 830 1110 1245 1270 1905 2490 3071 3810 4699 6142 9213 9398 10541 14097 15355 18426 21082 23495 28194 30710 31623 46065 46990 52705 63246 70485 92130 105410 140970 158115 189061 316230 378122 390017 567183 780034 945305 1134366 1170051 1890610 1950085 2340102 2835915 3900170 5671830 5850255 6995257 11700510 13990514 15692063 20985771 24010747 31384126 34976285 41971542 47076189 48021494 69952570 72032241 78460315 94152378 104928855 120053735 144064482 156920630 209857710 235380945 240107470 360161205 470761890 580606331 720322410 888397639 1161212662 1741818993 1776795278 1992892001 2665192917 2903031655 3483637986 3985784002 4441988195 5330385834 5806063310 5978676003 8709094965 8883976390 9964460005 11957352006 13325964585 17418189930 19928920010 26651929170 29893380015 59786760030 73737004037 147474008074 221211012111 368685020185 442422024222 737370040370 1106055060555 2212110121110