Search a number
-
+
1120212120102 = 23312372191743
BaseRepresentation
bin10000010011010001110…
…110000111001000100110
310222002110111201212001120
4100103101312013020212
5121323143300320402
62214341321234410
7143634620625255
oct20232166071046
93862414655046
101120212120102
113a20965a0a89
12161130932a06
13818353c1a5a
143c30ba0879c
151e21516c3bc
hex104d1d87226

1120212120102 has 144 divisors (see below), whose sum is σ = 2394962712576. Its totient is φ = 349280769600.

The previous prime is 1120212120007. The next prime is 1120212120119. The reversal of 1120212120102 is 2010212120211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1507687543 + ... + 1507688285.

It is an arithmetic number, because the mean of its divisors is an integer number (16631685504).

Almost surely, 21120212120102 is an apocalyptic number.

1120212120102 is an abundant number, since it is smaller than the sum of its proper divisors (1274750592474).

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

1120212120102 is a wasteful number, since it uses less digits than its factorization.

1120212120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1120212120102 its reverse (2010212120211), we get a palindrome (3130424240313).

The spelling of 1120212120102 in words is "one trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 191 222 382 573 743 961 1146 1147 1369 1486 1922 2229 2294 2738 2883 3441 4107 4458 5766 5921 6882 7067 8214 11842 14134 17763 21201 23033 27491 35526 35557 42402 42439 46066 54982 69099 71114 82473 84878 106671 127317 138198 141913 164946 183551 213342 219077 254634 261479 283826 367102 425739 438154 522958 550653 657231 714023 784437 851478 852221 1017167 1101306 1314462 1315609 1428046 1568874 1704442 2034334 2142069 2556663 2631218 3051501 3946827 4284138 4399303 5113326 5250781 6103002 6791387 7893654 8105849 8798606 10501562 13197909 13582774 15752343 16211698 20374161 24317547 26395818 26418851 31504686 31532177 40748322 48635094 52837702 63064354 79256553 94596531 136378393 158513106 162774211 189193062 194278897 251281319 272756786 325548422 388557794 409135179 488322633 502562638 582836691 753843957 818270358 976645266 977497487 1165673382 1507687914 1954994974 2932492461 5046000541 5864984922 6022645807 10092001082 12045291614 15138001623 18067937421 30276003246 36135874842 186702020017 373404040034 560106060051 1120212120102