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1931241312 = 2533721121329
BaseRepresentation
bin111001100011100…
…0110011101100000
311222120222020001000
41303013012131200
512423344210222
6515345112000
765600165100
oct16307063540
94876866030
101931241312
11901154200
1245a928600
1324a151850
141446bb200
15b482e9ac
hex731c6760

1931241312 has 864 divisors, whose sum is σ = 8023730400. Its totient is φ = 447068160.

The previous prime is 1931241311. The next prime is 1931241313. The reversal of 1931241312 is 2131421391.

It is an interprime number because it is at equal distance from previous prime (1931241311) and next prime (1931241313).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1931241311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66594514 + ... + 66594542.

It is an arithmetic number, because the mean of its divisors is an integer number (9286725).

Almost surely, 21931241312 is an apocalyptic number.

1931241312 is a gapful number since it is divisible by the number (12) 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 1931241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011865200).

1931241312 is an abundant number, since it is smaller than the sum of its proper divisors (6092489088).

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

1931241312 is a wasteful number, since it uses less digits than its factorization.

1931241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1931241312 is about 43945.8907293958. The cubic root of 1931241312 is about 1245.3139344778.

The spelling of 1931241312 in words is "one billion, nine hundred thirty-one million, two hundred forty-one thousand, three hundred twelve".