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12113213212101 = 31719471931378099
BaseRepresentation
bin1011000001000101001111…
…0001010100010111000101
31120220000022122201011112010
42300101103301110113011
53041430330040241401
641432422222044433
72360102500311201
oct260212361242705
946800278634463
1012113213212101
113950204081801
121437756719719
1369b36a802c11
142dc3d5829b01
1516015c175ed6
hexb0453c545c5

12113213212101 has 64 divisors (see below), whose sum is σ = 18479328768000. Its totient is φ = 7010704244736.

The previous prime is 12113213212073. The next prime is 12113213212159. The reversal of 12113213212101 is 10121231231121.

It is not a de Polignac number, because 12113213212101 - 243 = 3317120189893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113213212801) 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 63 ways as a sum of consecutive naturals, for example, 8100750 + ... + 9478848.

It is an arithmetic number, because the mean of its divisors is an integer number (288739512000).

Almost surely, 212113213212101 is an apocalyptic number.

It is an amenable number.

12113213212101 is a deficient number, since it is larger than the sum of its proper divisors (6366115555899).

12113213212101 is a wasteful number, since it uses less digits than its factorization.

12113213212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378378.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12113213212101 its reverse (10121231231121), we get a palindrome (22234444443222).

The spelling of 12113213212101 in words is "twelve trillion, one hundred thirteen billion, two hundred thirteen million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 17 19 47 51 57 141 193 323 579 799 893 969 2397 2679 3281 3667 9071 9843 11001 15181 27213 45543 62339 154207 172349 187017 462621 517047 1378099 2929933 4134297 8789799 23427683 26183881 64770653 70283049 78551643 194311959 265973107 445125977 797919321 1101101101 1230642407 1335377931 3303303303 3691927221 4521542819 5053489033 12500736029 13564628457 15160467099 20920920919 37502208087 62762762757 85909313561 212512512493 237513984551 257727940683 637537537479 712541953653 4037737737367 12113213212101