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1301021040 = 243511271631
BaseRepresentation
bin100110110001100…
…0000000101110000
310100200002201100110
41031203000011300
510131030133130
6333033221320
744145332154
oct11543000560
93320081313
101301021040
11608435400
12303861840
13179704947
14c4b09064
1579342ab0
hex4d8c0170

1301021040 has 240 divisors, whose sum is σ = 4502711808. Its totient is φ = 310464000.

The previous prime is 1301021039. The next prime is 1301021063. The reversal of 1301021040 is 401201031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2061525 + ... + 2062155.

Almost surely, 21301021040 is an apocalyptic number.

1301021040 is a gapful number since it is divisible by the number (10) 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 1301021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251355904).

1301021040 is an abundant number, since it is smaller than the sum of its proper divisors (3201690768).

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

1301021040 is a wasteful number, since it uses less digits than its factorization.

1301021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1301021040 is about 36069.6692527115. The cubic root of 1301021040 is about 1091.6785405412.

Adding to 1301021040 its reverse (401201031), we get a palindrome (1702222071).

Subtracting from 1301021040 its reverse (401201031), we obtain a square (899820009 = 299972).

The spelling of 1301021040 in words is "one billion, three hundred one million, twenty-one thousand, forty".