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12111020100 = 22335220992137
BaseRepresentation
bin10110100011101111…
…11000000001000100
31011021001000120022000
423101313320001010
5144300410120400
65321433105300
7606056654334
oct132167700104
934231016260
1012111020100
11515539a723
12241bb58230
1311b01662aa
1482c67b0c4
154ad3a0600
hex2d1df8044

12111020100 has 144 divisors (see below), whose sum is σ = 38971464000. Its totient is φ = 3226556160.

The previous prime is 12111020083. The next prime is 12111020123. The reversal of 12111020100 is 102011121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 5666232 + ... + 5668368.

Almost surely, 212111020100 is an apocalyptic number.

12111020100 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 12111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19485732000).

12111020100 is an abundant number, since it is smaller than the sum of its proper divisors (26860443900).

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

12111020100 is a wasteful number, since it uses less digits than its factorization.

12111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12111020100 its reverse (102011121), we get a palindrome (12213031221).

The spelling of 12111020100 in words is "twelve billion, one hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2099 2137 2700 4198 4274 6297 6411 8396 8548 10495 10685 12594 12822 18891 19233 20990 21370 25188 25644 31485 32055 37782 38466 41980 42740 52475 53425 56673 57699 62970 64110 75564 76932 94455 96165 104950 106850 113346 115398 125940 128220 157425 160275 188910 192330 209900 213700 226692 230796 283365 288495 314850 320550 377820 384660 472275 480825 566730 576990 629700 641100 944550 961650 1133460 1153980 1416825 1442475 1889100 1923300 2833650 2884950 4485563 5667300 5769900 8971126 13456689 17942252 22427815 26913378 40370067 44855630 53826756 67283445 80740134 89711260 112139075 121110201 134566890 161480268 201850335 224278150 242220402 269133780 336417225 403700670 448556300 484440804 605551005 672834450 807401340 1009251675 1211102010 1345668900 2018503350 2422204020 3027755025 4037006700 6055510050 12111020100