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1300113444 = 2237412271663
BaseRepresentation
bin100110101111110…
…0010100000100100
310100121101121100210
41031133202200210
510130312112234
6333001535420
744134532130
oct11537424044
93317347323
101300113444
11607975523
123034a4570
131794777c6
14c49503c0
1579213be9
hex4d7e2824

1300113444 has 96 divisors (see below), whose sum is σ = 3569319936. Its totient is φ = 360587520.

The previous prime is 1300113443. The next prime is 1300113457. The reversal of 1300113444 is 4443110031.

It is a super-2 number, since 2×13001134442 = 3380589934539082272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1300113444.

It is not an unprimeable number, because it can be changed into a prime (1300113443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780957 + ... + 782619.

It is an arithmetic number, because the mean of its divisors is an integer number (37180416).

Almost surely, 21300113444 is an apocalyptic number.

1300113444 is a gapful number since it is divisible by the number (14) 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 1300113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784659968).

1300113444 is an abundant number, since it is smaller than the sum of its proper divisors (2269206492).

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

1300113444 is a wasteful number, since it uses less digits than its factorization.

1300113444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

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

The square root of 1300113444 is about 36057.0859055471. The cubic root of 1300113444 is about 1091.4246287978.

Adding to 1300113444 its reverse (4443110031), we get a palindrome (5743223475).

The spelling of 1300113444 in words is "one billion, three hundred million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 227 246 287 454 492 574 681 861 908 1148 1362 1589 1663 1722 2724 3178 3326 3444 4767 4989 6356 6652 9307 9534 9978 11641 18614 19068 19956 23282 27921 34923 37228 46564 55842 65149 68183 69846 111684 130298 136366 139692 195447 204549 260596 272732 377501 390894 409098 477281 755002 781788 818196 954562 1132503 1431843 1510004 1909124 2265006 2642507 2863686 4530012 5285014 5727372 7927521 10570028 15477541 15855042 30955082 31710084 46432623 61910164 92865246 108342787 185730492 216685574 325028361 433371148 650056722 1300113444