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20145254042331 = 32114091385935899
BaseRepresentation
bin1001001010010011011101…
…01101100000101011011011
32122022212102101120101112100
410211021232231200223123
510120024440013323311
6110502334004214443
74146306114014565
oct445115655405333
978285371511470
1020145254042331
1164676107a2a20
12231435099a423
13b318c6530c02
144d906d59a335
1524e056e90a56
hex12526eb60adb

20145254042331 has 48 divisors (see below), whose sum is σ = 31824833040000. Its totient is φ = 12178175368320.

The previous prime is 20145254042233. The next prime is 20145254042447. The reversal of 20145254042331 is 13324045254102.

It is a happy number.

20145254042331 is a `hidden beast` number, since 2 + 0 + 1 + 45 + 2 + 540 + 42 + 3 + 31 = 666.

It is not a de Polignac number, because 20145254042331 - 218 = 20145253780187 is a prime.

It is a super-2 number, since 2×201452540423312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20145254022331) 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, 561146820 + ... + 561182718.

It is an arithmetic number, because the mean of its divisors is an integer number (663017355000).

Almost surely, 220145254042331 is an apocalyptic number.

20145254042331 is a deficient number, since it is larger than the sum of its proper divisors (11679578997669).

20145254042331 is a wasteful number, since it uses less digits than its factorization.

20145254042331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50184 (or 50181 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 20145254042331 its reverse (13324045254102), we get a palindrome (33469299296433).

The spelling of 20145254042331 in words is "twenty trillion, one hundred forty-five billion, two hundred fifty-four million, forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 409 1227 3681 4499 13497 13859 35899 40491 41577 107697 124731 152449 323091 394889 457347 1184667 1372041 3554001 5668331 14682691 17004993 44048073 51014979 62351641 132144219 161509601 187054923 484528803 497524241 561164769 1453586409 1492572723 4477718169 5472766651 16418299953 49254899859 203487414569 610462243707 1831386731121 2238361560259 6715084680777 20145254042331