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133232230212312 = 23371126554123879
BaseRepresentation
bin11110010010110010001011…
…110000010010001011011000
3122110201212200012101200020110
4132102302023300102023120
5114430334101413243222
61151210012552524320
740030465603202250
oct3622621360221330
9573655605350213
10133232230212312
11394a7520663700
1212b393703b06a0
13594598c8484aa
1424c868d884960
151060a21a7430c
hex792c8bc122d8

133232230212312 has 96 divisors (see below), whose sum is σ = 418415268499200. Its totient is φ = 34605774075840.

The previous prime is 133232230212239. The next prime is 133232230212317. The reversal of 133232230212312 is 213212032232331.

It is a super-3 number, since 3×1332322302123123 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133232230212312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133232230212317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3277041612 + ... + 3277082267.

It is an arithmetic number, because the mean of its divisors is an integer number (4358492380200).

Almost surely, 2133232230212312 is an apocalyptic number.

133232230212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133232230212312 is an abundant number, since it is smaller than the sum of its proper divisors (285183038286888).

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

133232230212312 is a wasteful number, since it uses less digits than its factorization.

133232230212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554123917 (or 6554123902 counting only the distinct ones).

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

Adding to 133232230212312 its reverse (213212032232331), we get a palindrome (346444262444643).

The spelling of 133232230212312 in words is "one hundred thirty-three trillion, two hundred thirty-two billion, two hundred thirty million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 6554123879 13108247758 19662371637 26216495516 39324743274 45878867153 52432991032 72095362669 78649486548 91757734306 137636601459 144190725338 157298973096 183515468612 216286088007 275273202918 288381450676 367030937224 432572176014 504667538683 550546405836 576762901352 793048989359 865144352028 1009335077366 1101092811672 1514002616049 1586097978718 1730288704056 2018670154732 2379146968077 3028005232098 3172195957436 4037340309464 4758293936154 5551342925513 6056010464196 6344391914872 9516587872308 11102685851026 12112020928392 16654028776539 19033175744616 22205371702052 33308057553078 44410743404104 66616115106156 133232230212312