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12030112013100 = 2235279895703367
BaseRepresentation
bin1010111100001111101010…
…0011011001101100101100
31120121001211012010212020220
42233003322203121230230
53034100132133404400
641330320203011340
72351101250626116
oct257037243315454
946531735125226
1012030112013100
113918a3a674a45
121423624209b50
1369358604340c
142d8390c643b6
1515cde67c37a0
hexaf0fa8d9b2c

12030112013100 has 144 divisors (see below), whose sum is σ = 35643768652800. Its totient is φ = 3131832337920.

The previous prime is 12030112013099. The next prime is 12030112013111. The reversal of 12030112013100 is 131021103021.

It is a happy number.

It is a super-2 number, since 2×120301120131002 (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 12030112013100.

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, 742384 + ... + 4960983.

It is an arithmetic number, because the mean of its divisors is an integer number (247526171200).

Almost surely, 212030112013100 is an apocalyptic number.

12030112013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030112013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821884326400).

12030112013100 is an abundant number, since it is smaller than the sum of its proper divisors (23613656639700).

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

12030112013100 is a wasteful number, since it uses less digits than its factorization.

12030112013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703552 (or 5703545 counting only the distinct ones).

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

Adding to 12030112013100 its reverse (131021103021), we get a palindrome (12161133116121).

The spelling of 12030112013100 in words is "twelve trillion, thirty billion, one hundred twelve million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 89 100 150 158 178 237 267 300 316 356 395 445 474 534 790 890 948 1068 1185 1335 1580 1780 1975 2225 2370 2670 3950 4450 4740 5340 5925 6675 7031 7900 8900 11850 13350 14062 21093 23700 26700 28124 35155 42186 70310 84372 105465 140620 175775 210930 351550 421860 527325 703100 1054650 2109300 5703367 11406734 17110101 22813468 28516835 34220202 57033670 68440404 85550505 114067340 142584175 171101010 285168350 342202020 427752525 450565993 507599663 570336700 855505050 901131986 1015199326 1351697979 1522798989 1711010100 1802263972 2030398652 2252829965 2537998315 2703395958 3045597978 4505659930 5075996630 5406791916 6091195956 6758489895 7613994945 9011319860 10151993260 11264149825 12689991575 13516979790 15227989890 22528299650 25379983150 27033959580 30455979780 33792449475 38069974725 40100373377 45056599300 50759966300 67584898950 76139949450 80200746754 120301120131 135169797900 152279898900 160401493508 200501866885 240602240262 401003733770 481204480524 601505600655 802007467540 1002509334425 1203011201310 2005018668850 2406022402620 3007528003275 4010037337700 6015056006550 12030112013100