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203141431041000 = 23353149739361471
BaseRepresentation
bin101110001100000110001100…
…110101100001101111101000
3222122021010112121100121222020
4232030012030311201233220
5203111232122321303000
62000013515103024440
760534325014506244
oct5614061465415750
9878233477317866
10203141431041000
11597aa884a33481
121a94a20629b120
138947201caa29a
14382415221b424
151874294e7bba0
hexb8c18cd61be8

203141431041000 has 256 divisors, whose sum is σ = 638151651072000. Its totient is φ = 53799330816000.

The previous prime is 203141431040993. The next prime is 203141431041001. The reversal of 203141431041000 is 140134141302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (203141431041001) 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 63 ways as a sum of consecutive naturals, for example, 3304640265 + ... + 3304701735.

It is an arithmetic number, because the mean of its divisors is an integer number (2492779887000).

Almost surely, 2203141431041000 is an apocalyptic number.

203141431041000 is a gapful number since it is divisible by the number (20) 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 203141431041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319075825536000).

203141431041000 is an abundant number, since it is smaller than the sum of its proper divisors (435010220031000).

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

203141431041000 is a wasteful number, since it uses less digits than its factorization.

203141431041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69037 (or 69023 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 203141431041000 its reverse (140134141302), we get a palindrome (203281565182302).

The spelling of 203141431041000 in words is "two hundred three trillion, one hundred forty-one billion, four hundred thirty-one million, forty-one thousand".