Search a number
-
+
12012001102101 = 37112131073398471
BaseRepresentation
bin1010111011001100001100…
…0011110000100100010101
31120112100002000021020221110
42232303003003300210111
53033301034240231401
641314123115205233
72346560404466250
oct256630303604425
946470060236843
1012012001102101
113911296519500
12142000aa46819
1369195ab4bc30
142d7553806097
1515c6d680c9d6
hexaecc30f0915

12012001102101 has 96 divisors (see below), whose sum is σ = 21869412009984. Its totient is φ = 5706167068800.

The previous prime is 12012001102097. The next prime is 12012001102141. The reversal of 12012001102101 is 10120110021021.

It is not a de Polignac number, because 12012001102101 - 22 = 12012001102097 is a prime.

It is a super-2 number, since 2×120120011021012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012001102141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1835296 + ... + 5233766.

It is an arithmetic number, because the mean of its divisors is an integer number (227806375104).

Almost surely, 212012001102101 is an apocalyptic number.

12012001102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012001102101 is a deficient number, since it is larger than the sum of its proper divisors (9857410907883).

12012001102101 is a wasteful number, since it uses less digits than its factorization.

12012001102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398623 (or 3398612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12012001102101 its reverse (10120110021021), we get a palindrome (22132111123122).

The spelling of 12012001102101 in words is "twelve trillion, twelve billion, one million, one hundred two thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 107 121 143 231 273 321 363 429 749 847 1001 1177 1391 1573 2247 2541 3003 3531 4173 4719 8239 9737 11011 12947 15301 24717 29211 33033 38841 45903 90629 107107 168311 271887 321321 504933 1178177 3398471 3534531 10195413 23789297 37383181 44180123 71367891 112149543 132540369 261682267 309260861 363636397 411214991 485981353 785046801 927782583 1090909191 1233644973 1457944059 2545454779 2878504937 3401869471 4000000367 4727273161 5345794883 7636364337 8635514811 10205608413 12000001101 14181819483 16037384649 28000002569 33090912127 37420564181 44000004037 52000004771 84000007707 99272736381 112261692543 132000012111 156000014313 308000028259 364000033397 572000052481 924000084777 1092000100191 1716000157443 4004000367367 12012001102101