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1301441020 = 2251116735423
BaseRepresentation
bin100110110010010…
…0110100111111100
310100200220001110021
41031210212213330
510131132103040
6333050221524
744152031455
oct11544464774
93320801407
101301441020
116086a19a0
12303a248a4
13179820b59
14c4bb812c
15793c724a
hex4d9269fc

1301441020 has 48 divisors (see below), whose sum is σ = 2999420928. Its totient is φ = 470404160.

The previous prime is 1301441017. The next prime is 1301441041. The reversal of 1301441020 is 201441031.

It is a junction number, because it is equal to n+sod(n) for n = 1301440985 and 1301441003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19029 + ... + 54451.

It is an arithmetic number, because the mean of its divisors is an integer number (62487936).

Almost surely, 21301441020 is an apocalyptic number.

1301441020 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 1301441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499710464).

1301441020 is an abundant number, since it is smaller than the sum of its proper divisors (1697979908).

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

1301441020 is a wasteful number, since it uses less digits than its factorization.

1301441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35610 (or 35608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1301441020 is about 36075.4905718550. The cubic root of 1301441020 is about 1091.7959954258.

Adding to 1301441020 its reverse (201441031), we get a palindrome (1502882051).

The spelling of 1301441020 in words is "one billion, three hundred one million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 35423 36740 70846 141692 177115 354230 389653 708460 779306 1558612 1948265 3896530 5915641 7793060 11831282 23662564 29578205 59156410 65072051 118312820 130144102 260288204 325360255 650720510 1301441020