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12010312013100 = 22352194349001681
BaseRepresentation
bin1010111011000101111001…
…1000011001010100101100
31120112011201021221122102120
42232301132120121110230
53033234104333404400
641313243340152540
72346500504456442
oct256613630312454
946464637848376
1012010312013100
1139105aa028985
12141b819238750
1369174bc22a9b
142d7433360b92
1515c6383b1ca0
hexaec5e61952c

12010312013100 has 144 divisors (see below), whose sum is σ = 37429444778880. Its totient is φ = 2963621606400.

The previous prime is 12010312013039. The next prime is 12010312013123. The reversal of 12010312013100 is 131021301021.

It is a happy number.

12010312013100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120103120131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12010312013100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24255741 + ... + 24745940.

Almost surely, 212010312013100 is an apocalyptic number.

12010312013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010312013100 is an abundant number, since it is smaller than the sum of its proper divisors (25419132765780).

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

12010312013100 is a wasteful number, since it uses less digits than its factorization.

12010312013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49001760 (or 49001753 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12010312013100 its reverse (131021301021), we get a palindrome (12141333314121).

The spelling of 12010312013100 in words is "twelve trillion, ten billion, three hundred twelve million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 43 50 57 60 75 76 86 95 100 114 129 150 172 190 215 228 258 285 300 380 430 475 516 570 645 817 860 950 1075 1140 1290 1425 1634 1900 2150 2451 2580 2850 3225 3268 4085 4300 4902 5700 6450 8170 9804 12255 12900 16340 20425 24510 40850 49020 61275 81700 122550 245100 49001681 98003362 147005043 196006724 245008405 294010086 490016810 588020172 735025215 931031939 980033620 1225042025 1470050430 1862063878 2107072283 2450084050 2793095817 2940100860 3675126075 3724127756 4214144566 4655159695 4900168100 5586191634 6321216849 7350252150 8428289132 9310319390 10535361415 11172383268 12642433698 13965479085 14700504300 18620638780 21070722830 23275798475 25284867396 27930958170 31606084245 40034373377 42141445660 46551596950 52676807075 55861916340 63212168490 69827395425 80068746754 93103193900 105353614150 120103120131 126424336980 139654790850 158030421225 160137493508 200171866885 210707228300 240206240262 279309581700 316060842450 400343733770 480412480524 600515600655 632121684900 800687467540 1000859334425 1201031201310 2001718668850 2402062402620 3002578003275 4003437337700 6005156006550 12010312013100