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203122242423144 = 233411432711244451
BaseRepresentation
bin101110001011110100010101…
…000110110000100101101000
3222122012022000022120211210000
4232023310111012300211220
5203110423323030020034
62000001023040223000
760533045344113042
oct5613642506604550
9878168008524700
10203122242423144
11597a2728509910
121a94655000aa60
13894546473c235
1438232519c4a92
151873a20585599
hexb8bd151b0968

203122242423144 has 320 divisors, whose sum is σ = 635321908615680. Its totient is φ = 60098325840000.

The previous prime is 203122242423143. The next prime is 203122242423167. The reversal of 203122242423144 is 441324242221302.

203122242423144 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 224 + 2 + 423 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 203122242423099 and 203122242423108.

It is not an unprimeable number, because it can be changed into a prime (203122242423143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 830810119 + ... + 831054569.

It is an arithmetic number, because the mean of its divisors is an integer number (1985380964424).

Almost surely, 2203122242423144 is an apocalyptic number.

203122242423144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203122242423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317660954307840).

203122242423144 is an abundant number, since it is smaller than the sum of its proper divisors (432199666192536).

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

203122242423144 is a wasteful number, since it uses less digits than its factorization.

203122242423144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247234 (or 247221 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 203122242423144 its reverse (441324242221302), we get a palindrome (644446484644446).

The spelling of 203122242423144 in words is "two hundred three trillion, one hundred twenty-two billion, two hundred forty-two million, four hundred twenty-three thousand, one hundred forty-four".