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531101120000 = 295411150881
BaseRepresentation
bin1111011101010000001…
…01111111011000000000
31212202212100110022021212
413232220011333120000
532200143341320000
61043552352105252
753241116014523
oct7565005773000
91782770408255
10531101120000
11195269811260
1286b20835228
133b10c696569
141b9c39bcbba
15dc36264c35
hex7ba817f600

531101120000 has 200 divisors, whose sum is σ = 1446589624392. Its totient is φ = 193126400000.

The previous prime is 531101119999. The next prime is 531101120009. The reversal of 531101120000 is 21101135.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531101120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3444560 + ... + 3595440.

Almost surely, 2531101120000 is an apocalyptic number.

531101120000 is a gapful number since it is divisible by the number (50) 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 531101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723294812196).

531101120000 is an abundant number, since it is smaller than the sum of its proper divisors (915488504392).

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

531101120000 is an equidigital number, since it uses as much as digits as its factorization.

531101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150930 (or 150899 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 531101120000 its reverse (21101135), we get a palindrome (531122221135).

The spelling of 531101120000 in words is "five hundred thirty-one billion, one hundred one million, one hundred twenty thousand".