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11332023003054 = 23213151791940499
BaseRepresentation
bin1010010011100111000100…
…1101001010011110101110
31111010022221011111210220200
42210321301031022132232
52441130440342044204
640033505352454330
72246466044143635
oct244716115123656
944108834453820
1011332023003054
11367997a618396
12133027b6aa3a6
136427b3787380
142b268968851c
15149b8a39a539
hexa4e7134a7ae

11332023003054 has 96 divisors (see below), whose sum is σ = 26620513920000. Its totient is φ = 3463162171200.

The previous prime is 11332023003053. The next prime is 11332023003109. The reversal of 11332023003054 is 45030032023311.

11332023003054 is a `hidden beast` number, since 1 + 1 + 3 + 320 + 2 + 30 + 0 + 305 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332023003053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279789697 + ... + 279830195.

It is an arithmetic number, because the mean of its divisors is an integer number (277297020000).

Almost surely, 211332023003054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332023003054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310256960000).

11332023003054 is an abundant number, since it is smaller than the sum of its proper divisors (15288490916946).

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

11332023003054 is a wasteful number, since it uses less digits than its factorization.

11332023003054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48590 (or 48587 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 11332023003054 its reverse (45030032023311), we get a palindrome (56362055026365).

The spelling of 11332023003054 in words is "eleven trillion, three hundred thirty-two billion, twenty-three million, three thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1359 1963 2718 3926 5889 7919 11778 15838 17667 23757 35334 40499 47514 71271 80998 102947 121497 142542 205894 242994 308841 364491 526487 617682 728982 926523 1052974 1195769 1579461 1853046 2391538 3158922 3587307 4738383 6115349 7174614 9476766 10761921 12230698 15544997 18346047 21523842 31089994 36692094 46634991 55038141 79499537 93269982 110076282 139904973 158999074 238498611 279809946 320711581 476997222 641423162 715495833 962134743 1430991666 1924269486 2886404229 4169250553 5772808458 8338501106 12507751659 25015503318 37523254977 48427448731 75046509954 96854897462 145282346193 290564692386 435847038579 629556833503 871694077158 1259113667006 1888670500509 3777341001018 5666011501527 11332023003054