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12013001031000 = 233534393124039
BaseRepresentation
bin1010111011001111111010…
…1010001011110101011000
31120112102122200210220112010
42232303332222023311120
53033310111230443000
641314410235145520
72346624235652664
oct256637652136530
946472580726463
1012013001031000
1139117599a3922
1214202498a52a0
13691a8a062938
142d760a5358a4
1515c7444c7d50
hexaecfea8bd58

12013001031000 has 128 divisors (see below), whose sum is σ = 38352204633600. Its totient is φ = 3128967676800.

The previous prime is 12013001030977. The next prime is 12013001031001. The reversal of 12013001031000 is 13010031021.

It is a super-2 number, since 2×120130010310002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013001031001) 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, 46433020 + ... + 46691019.

It is an arithmetic number, because the mean of its divisors is an integer number (299626598700).

Almost surely, 212013001031000 is an apocalyptic number.

12013001031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013001031000 is an abundant number, since it is smaller than the sum of its proper divisors (26339203602600).

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

12013001031000 is a wasteful number, since it uses less digits than its factorization.

12013001031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93124106 (or 93124092 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12013001031000 its reverse (13010031021), we get a palindrome (12026011062021).

The spelling of 12013001031000 in words is "twelve trillion, thirteen billion, one million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 129000 93124039 186248078 279372117 372496156 465620195 558744234 744992312 931240390 1117488468 1396860585 1862480780 2234976936 2328100975 2793721170 3724961560 4004333677 4656201950 5587442340 6984302925 8008667354 9312403900 11174884680 11640504875 12013001031 13968605850 16017334708 18624807800 20021668385 23281009750 24026002062 27937211700 32034669416 34921514625 40043336770 46562019500 48052004124 55874423400 60065005155 69843029250 80086673540 93124039000 96104008248 100108341925 120130010310 139686058500 160173347080 200216683850 240260020620 279372117000 300325025775 400433367700 480520041240 500541709625 600650051550 800866735400 1001083419250 1201300103100 1501625128875 2002166838500 2402600206200 3003250257750 4004333677000 6006500515500 12013001031000