Search a number
-
+
23121181512132 = 22311296040016069
BaseRepresentation
bin1010100000111010100011…
…10011111001000111000100
310000212100210220010102112220
411100131101303321013010
511012304134431342012
6121101420230012340
74604310301106124
oct520352163710704
9100770726112486
1023121181512132
117404702217440
122715058aa70b0
13cb9419a1b3b2
1459d0dd376c84
152a167d16808c
hex150751cf91c4

23121181512132 has 48 divisors (see below), whose sum is σ = 60883361985600. Its totient is φ = 6764817996160.

The previous prime is 23121181512059. The next prime is 23121181512139. The reversal of 23121181512132 is 23121518112132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 23121181512093 and 23121181512102.

It is not an unprimeable number, because it can be changed into a prime (23121181512139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3020004207 + ... + 3020011862.

It is an arithmetic number, because the mean of its divisors is an integer number (1268403374700).

Almost surely, 223121181512132 is an apocalyptic number.

23121181512132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23121181512132 is an abundant number, since it is smaller than the sum of its proper divisors (37762180473468).

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

23121181512132 is a wasteful number, since it uses less digits than its factorization.

23121181512132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040016116 (or 6040016114 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

Adding to 23121181512132 its reverse (23121518112132), we get a palindrome (46242699624264).

The spelling of 23121181512132 in words is "twenty-three trillion, one hundred twenty-one billion, one hundred eighty-one million, five hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 6040016069 12080032138 18120048207 24160064276 36240096414 66440176759 72480192828 132880353518 175160466001 199320530277 265760707036 350320932002 398641060554 525481398003 700641864004 797282121108 1050962796006 1926765126011 2101925592012 3853530252022 5780295378033 7707060504044 11560590756066 23121181512132