Search a number
-
+
121313020101 = 37133710721049
BaseRepresentation
bin111000011111011010…
…0011100100011000101
3102121010111211221110120
41300332310130203011
53441422113120401
6131421435012153
711523151441230
oct1607664344305
9377114757416
10121313020101
11474a30455a9
121b61759a059
13b594230740
145c2b896417
1532503b8836
hex1c3ed1c8c5

121313020101 has 96 divisors (see below), whose sum is σ = 206583686400. Its totient is φ = 61619180544.

The previous prime is 121313020079. The next prime is 121313020117. The reversal of 121313020101 is 101020313121.

It is a happy number.

It is not a de Polignac number, because 121313020101 - 210 = 121313019077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121313020121) 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 95 ways as a sum of consecutive naturals, for example, 115645825 + ... + 115646873.

It is an arithmetic number, because the mean of its divisors is an integer number (2151913400).

Almost surely, 2121313020101 is an apocalyptic number.

It is an amenable number.

121313020101 is a deficient number, since it is larger than the sum of its proper divisors (85270666299).

121313020101 is a wasteful number, since it uses less digits than its factorization.

121313020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121313020101 its reverse (101020313121), we get a palindrome (222333333222).

It can be divided in two parts, 121313020 and 101, that added together give a palindrome (121313121).

The spelling of 121313020101 in words is "one hundred twenty-one billion, three hundred thirteen million, twenty thousand, one hundred one".

Divisors: 1 3 7 13 21 37 39 91 107 111 259 273 321 481 749 777 1049 1391 1443 2247 3147 3367 3959 4173 7343 9737 10101 11449 11877 13637 22029 27713 29211 34347 38813 40911 51467 80143 83139 95459 112243 116439 148837 154401 240429 271691 286377 336729 360269 423613 446511 504569 785701 815073 1041859 1080807 1270839 1459159 1513707 2357103 2965291 3125577 3531983 4152991 4377477 5506969 8895873 10214113 10595949 12010001 12458973 16520907 29070937 30642339 36030003 38548783 53988883 84070007 87212811 115646349 156130013 161966649 252210021 377922181 444370037 468390039 1092910091 1133766543 1333110111 3110590259 3278730273 5776810481 9331770777 17330431443 40437673367 121313020101