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1303142412 = 223112131731131
BaseRepresentation
bin100110110101100…
…0110000000001100
310100211002111022210
41031223012000030
510132101024122
6333150510420
744202346005
oct11553060014
93324074283
101303142412
11609654200
12304505410
13179c983b0
14c50dc1ac
157961140c
hex4dac600c

1303142412 has 288 divisors, whose sum is σ = 3964004352. Its totient is φ = 329472000.

The previous prime is 1303142377. The next prime is 1303142431. The reversal of 1303142412 is 2142413031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9947587 + ... + 9947717.

It is an arithmetic number, because the mean of its divisors is an integer number (13763904).

Almost surely, 21303142412 is an apocalyptic number.

1303142412 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 1303142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982002176).

1303142412 is an abundant number, since it is smaller than the sum of its proper divisors (2660861940).

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

1303142412 is a wasteful number, since it uses less digits than its factorization.

1303142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1303142412 is about 36099.0638659786. The cubic root of 1303142412 is about 1092.2715616262.

Adding to 1303142412 its reverse (2142413031), we get a palindrome (3445555443).

The spelling of 1303142412 in words is "one billion, three hundred three million, one hundred forty-two thousand, four hundred twelve".