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12133440201333 = 31117307478714717
BaseRepresentation
bin1011000010010000100101…
…1001001010001001110101
31120221221112022100200110110
42300210021121022021311
53042243241142420313
641450005300413233
72361416650011243
oct260441131121165
946857468320413
1012133440201333
113958843748130
12143b6606a7219
136a02422245b9
142dd393d1b793
15160942cccec3
hexb090964a275

12133440201333 has 64 divisors (see below), whose sum is σ = 18752855159808. Its totient is φ = 6896581585920.

The previous prime is 12133440201319. The next prime is 12133440201341. The reversal of 12133440201333 is 33310204433121.

It is not a de Polignac number, because 12133440201333 - 24 = 12133440201317 is a prime.

It is a super-2 number, since 2×121334402013332 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12133440201333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133440201313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 824443291 + ... + 824458007.

It is an arithmetic number, because the mean of its divisors is an integer number (293013361872).

Almost surely, 212133440201333 is an apocalyptic number.

It is an amenable number.

12133440201333 is a deficient number, since it is larger than the sum of its proper divisors (6619414958475).

12133440201333 is a wasteful number, since it uses less digits than its factorization.

12133440201333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19842.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 12133440201333 its reverse (33310204433121), we get a palindrome (45443644634454).

The spelling of 12133440201333 in words is "twelve trillion, one hundred thirty-three billion, four hundred forty million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 3 11 17 33 51 187 307 561 921 3377 4787 5219 10131 14361 14717 15657 44151 52657 57409 81379 157971 161887 172227 244137 250189 485661 750567 895169 1469609 2685507 2752079 4408827 4518119 8256237 13554357 16165699 24983353 48497097 49699309 70450279 74950059 76808023 149097927 211350837 230424069 274816883 774953069 824450649 844888253 1197654743 2324859207 2534664759 3592964229 13174202173 21628235653 39522606519 64884706959 237910592183 367680006101 713731776549 1103040018303 4044480067111 12133440201333