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1303012144 = 24741436599
BaseRepresentation
bin100110110101010…
…0110001100110000
310100210211212122001
41031222212030300
510132032342034
6333144023344
744201264140
oct11552461460
93323755561
101303012144
11609575345
12304461b54
13179c51005
14c50a6920
15795d7a14
hex4daa6330

1303012144 has 80 divisors (see below), whose sum is σ = 3024806400. Its totient is φ = 532062720.

The previous prime is 1303012133. The next prime is 1303012147. The reversal of 1303012144 is 4412103031.

It is a super-2 number, since 2×13030121442 = 3395681294822953472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1303012147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194157 + ... + 200755.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 21303012144 is an apocalyptic number.

1303012144 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 1303012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512403200).

1303012144 is an abundant number, since it is smaller than the sum of its proper divisors (1721794256).

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

1303012144 is a wasteful number, since it uses less digits than its factorization.

1303012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1303012144 is about 36097.2595081677. The cubic root of 1303012144 is about 1092.2351642808.

Adding to 1303012144 its reverse (4412103031), we get a palindrome (5715115175).

The spelling of 1303012144 in words is "one billion, three hundred three million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 43 56 82 86 112 164 172 287 301 328 344 574 602 656 688 1148 1204 1763 2296 2408 3526 4592 4816 6599 7052 12341 13198 14104 24682 26396 28208 46193 49364 52792 92386 98728 105584 184772 197456 270559 283757 369544 541118 567514 739088 1082236 1135028 1893913 1986299 2164472 2270056 3787826 3972598 4328944 4540112 7575652 7945196 11634037 15151304 15890392 23268074 30302608 31780784 46536148 81438259 93072296 162876518 186144592 325753036 651506072 1303012144