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1300232100000 = 253554334107
BaseRepresentation
bin10010111010111011110…
…111110101100010100000
311121022010102002100120110
4102322323313311202200
5132300333404200000
62433152434211320
7162636651331641
oct22727367654240
94538112070513
101300232100000
1146147513a379
1218bbb1123b40
13957c4210512
1446d083256c8
1523c4e4c0850
hex12ebbdf58a0

1300232100000 has 144 divisors (see below), whose sum is σ = 4266114513696. Its totient is φ = 346728480000.

The previous prime is 1300232099909. The next prime is 1300232100001. The reversal of 1300232100000 is 12320031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1300232100001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1867054 + ... + 2467053.

It is an arithmetic number, because the mean of its divisors is an integer number (29625795234).

Almost surely, 21300232100000 is an apocalyptic number.

1300232100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300232100000 is an abundant number, since it is smaller than the sum of its proper divisors (2965882413696).

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

1300232100000 is an frugal number, since it uses more digits than its factorization.

1300232100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334145 (or 4334117 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1300232100000 its reverse (12320031), we get a palindrome (1300244420031).

The spelling of 1300232100000 in words is "one trillion, three hundred billion, two hundred thirty-two million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 4334107 8668214 13002321 17336428 21670535 26004642 34672856 43341070 52009284 65011605 69345712 86682140 104018568 108352675 130023210 138691424 173364280 208037136 216705350 260046420 325058025 346728560 416074272 433410700 520092840 541763375 650116050 693457120 866821400 1040185680 1083526750 1300232100 1625290125 1733642800 2080371360 2167053500 2600464200 2708816875 3250580250 3467285600 4334107000 5200928400 5417633750 6501160500 8126450625 8668214000 10401856800 10835267500 13002321000 13544084375 16252901250 17336428000 21670535000 26004642000 27088168750 32505802500 40632253125 43341070000 52009284000 54176337500 65011605000 81264506250 86682140000 108352675000 130023210000 162529012500 216705350000 260046420000 325058025000 433410700000 650116050000 1300232100000