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1301444010 = 23451794513
BaseRepresentation
bin100110110010010…
…0111010110101010
310100200220012120000
41031210213112222
510131132202020
6333050243430
744152043256
oct11544472652
93320805500
101301444010
116086a4169
12303a26576
13179822319
14c4bb9266
15793c8090
hex4d9275aa

1301444010 has 80 divisors (see below), whose sum is σ = 3705326856. Its totient is φ = 326633472.

The previous prime is 1301444009. The next prime is 1301444021. The reversal of 1301444010 is 104441031.

It can be written as a sum of positive squares in 4 ways, for example, as 1290174561 + 11269449 = 35919^2 + 3357^2 .

It is a super-2 number, since 2×13014440102 = 3387513022329760200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33487 + ... + 61026.

Almost surely, 21301444010 is an apocalyptic number.

1301444010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1301444010 is an abundant number, since it is smaller than the sum of its proper divisors (2403882846).

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

1301444010 is a wasteful number, since it uses less digits than its factorization.

1301444010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94549 (or 94540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1301444010 is about 36075.5320127091. The cubic root of 1301444010 is about 1091.7968315420.

Adding to 1301444010 its reverse (104441031), we get a palindrome (1405885041).

The spelling of 1301444010 in words is "one billion, three hundred one million, four hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 94513 189026 283539 472565 567078 850617 945130 1417695 1606721 1701234 2551851 2835390 3213442 4253085 4820163 5103702 7655553 8033605 8506170 9640326 12759255 14460489 15311106 16067210 24100815 25518510 28920978 38277765 43381467 48201630 72302445 76555530 86762934 130144401 144604890 216907335 260288802 433814670 650722005 1301444010