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300113301101120 = 26513199721361217
BaseRepresentation
bin100010000111100111001001…
…0101101000101101001000000
31110100121112212221221212122122
41010033032102231011221000
5303314024020040213440
62542142051444023412
7120133320242110043
oct10417162255055100
91410545787855578
10300113301101120
1187697377596781
12297abb75391b68
13cb5c7417ab2a0
1454177c0200c5a
1524a69806757b5
hex110f392b45a40

300113301101120 has 112 divisors (see below), whose sum is σ = 769623459132528. Its totient is φ = 110810203422720.

The previous prime is 300113301101101. The next prime is 300113301101149. The reversal of 300113301101120 is 21101103311003.

It can be written as a sum of positive squares in 8 ways, for example, as 1472103424 + 300111828997696 = 38368^2 + 17323736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830658752 + ... + 831019968.

It is an arithmetic number, because the mean of its divisors is an integer number (6871638027969).

Almost surely, 2300113301101120 is an apocalyptic number.

It is an amenable number.

300113301101120 is an abundant number, since it is smaller than the sum of its proper divisors (469510158031408).

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

300113301101120 is a wasteful number, since it uses less digits than its factorization.

300113301101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560968 (or 560958 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 300113301101120 its reverse (21101103311003), we get a palindrome (321214404412123).

The spelling of 300113301101120 in words is "three hundred trillion, one hundred thirteen billion, three hundred one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 199721 361217 399442 722434 798884 998605 1444868 1597768 1806085 1997210 2596373 2889736 3195536 3612170 3994420 4695821 5192746 5779472 6391072 7224340 7988840 9391642 10385492 11558944 12782144 12981865 14448680 15977680 18783284 20770984 23117888 23479105 25963730 28897360 31955360 37566568 41541968 46958210 51927460 57794720 63910720 75133136 83083936 93916420 103854920 115589440 150266272 166167872 187832840 207709840 300532544 375665680 415419680 751331360 830839360 1502662720 72142620457 144285240914 288570481828 360713102285 577140963656 721426204570 937854065941 1154281927312 1442852409140 1875708131882 2308563854624 2885704818280 3751416263764 4617127709248 4689270329705 5771409636560 7502832527528 9378540659410 11542819273120 15005665055056 18757081318820 23085638546240 30011330110112 37514162637640 60022660220224 75028325275280 150056650550560 300113301101120