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203235014224242 = 2347111331596411069
BaseRepresentation
bin101110001101011101010110…
…110101000010100101110010
3222122121002002120121220110000
4232031131112311002211302
5203114300302120133432
62000124513203250430
760544150053444210
oct5615352665024562
9878532076556400
10203235014224242
1159836538227130
121a964383079a16
138952c97272120
1438288acd6bcb0
151876920b9757c
hexb8d756d42972

203235014224242 has 1280 divisors, whose sum is σ = 643466480025600. Its totient is φ = 46240948224000.

The previous prime is 203235014224217. The next prime is 203235014224259. The reversal of 203235014224242 is 242422410532302.

203235014224242 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 350 + 1 + 42 + 24 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 203235014224197 and 203235014224206.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 190116944484 + ... + 190116945552.

It is an arithmetic number, because the mean of its divisors is an integer number (502708187520).

Almost surely, 2203235014224242 is an apocalyptic number.

203235014224242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203235014224242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321733240012800).

203235014224242 is an abundant number, since it is smaller than the sum of its proper divisors (440231465801358).

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

203235014224242 is a wasteful number, since it uses less digits than its factorization.

203235014224242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 203235014224242 its reverse (242422410532302), we get a palindrome (445657424756544).

The spelling of 203235014224242 in words is "two hundred three trillion, two hundred thirty-five billion, fourteen million, two hundred twenty-four thousand, two hundred forty-two".