Search a number
-
+
1303110330304 = 26297185311593
BaseRepresentation
bin10010111101100111011…
…011011010011111000000
311121120112222222121021211
4102331213123122133000
5132322232221032204
62434350212455504
7163101201022636
oct22754733323700
94546488877254
101303110330304
1146271189a402
1219067501a594
1395b625cb483
14470dc6b1356
1523d6c00e804
hex12f676da7c0

1303110330304 has 112 divisors (see below), whose sum is σ = 2716118032320. Its totient is φ = 619446804480.

The previous prime is 1303110330281. The next prime is 1303110330337. The reversal of 1303110330304 is 4030330113031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112399132 + ... + 112410724.

It is an arithmetic number, because the mean of its divisors is an integer number (24251053860).

Almost surely, 21303110330304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303110330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358059016160).

1303110330304 is an abundant number, since it is smaller than the sum of its proper divisors (1413007702016).

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

1303110330304 is a wasteful number, since it uses less digits than its factorization.

1303110330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12558 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1303110330304 its reverse (4030330113031), we get a palindrome (5333440443335).

The spelling of 1303110330304 in words is "one trillion, three hundred three billion, one hundred ten million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 71 116 142 232 284 464 568 853 928 1136 1706 1856 2059 2272 3412 4118 4544 6824 8236 11593 13648 16472 23186 24737 27296 32944 46372 49474 54592 60563 65888 92744 98948 121126 131776 185488 197896 242252 336197 370976 395792 484504 672394 741952 791584 823103 969008 1344788 1583168 1646206 1756327 1938016 2689576 3292412 3512654 3876032 5379152 6584824 7025308 9888829 10758304 13169648 14050616 19777658 21516608 23869987 26339296 28101232 39555316 47739974 52678592 56202464 79110632 95479948 112404928 158221264 190959896 286776041 316442528 381919792 573552082 632885056 702106859 763839584 1147104164 1404213718 1527679168 2294208328 2808427436 4588416656 5616854872 9176833312 11233709744 18353666624 20361098911 22467419488 40722197822 44934838976 81444395644 162888791288 325777582576 651555165152 1303110330304