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111220012220100 = 223527472911199389
BaseRepresentation
bin11001010010011101101101…
…010100011111111011000100
3112120210112021212210000011120
4121102131231110133323010
5104034212041112020400
61032313433535433540
732266244404343610
oct3122355524377304
9476715255700146
10111220012220100
1132490162442463
12105832250858b0
134a0a004952004
141d67112212340
15ccd14b27eca0
hex65276d51fec4

111220012220100 has 144 divisors (see below), whose sum is σ = 367845308476800. Its totient is φ = 25416339102720.

The previous prime is 111220012220087. The next prime is 111220012220137. The reversal of 111220012220100 is 1022210022111.

It is a super-2 number, since 2×1112200122201002 (a number of 29 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 111220012220100.

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, 4331206 + ... + 15530594.

Almost surely, 2111220012220100 is an apocalyptic number.

111220012220100 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 111220012220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183922654238400).

111220012220100 is an abundant number, since it is smaller than the sum of its proper divisors (256625296256700).

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

111220012220100 is a wasteful number, since it uses less digits than its factorization.

111220012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204142 (or 11204135 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111220012220100 its reverse (1022210022111), we get a palindrome (112242222242211).

The spelling of 111220012220100 in words is "one hundred eleven trillion, two hundred twenty billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 4729 9458 14187 18916 23645 28374 33103 47290 56748 66206 70935 94580 99309 118225 132412 141870 165515 198618 236450 283740 331030 354675 397236 472900 496545 662060 709350 827575 993090 1418700 1655150 1986180 2482725 3310300 4965450 9930900 11199389 22398778 33598167 44797556 55996945 67196334 78395723 111993890 134392668 156791446 167990835 223987780 235187169 279984725 313582892 335981670 391978615 470374338 559969450 671963340 783957230 839954175 940748676 1119938900 1175935845 1567914460 1679908350 1959893075 2351871690 3359816700 3919786150 4703743380 5879679225 7839572300 11759358450 23518716900 52961910581 105923821162 158885731743 211847642324 264809552905 317771463486 370733374067 529619105810 635542926972 741466748134 794428658715 1059238211620 1112200122201 1324047764525 1482933496268 1588857317430 1853666870335 2224400244402 2648095529050 3177714634860 3707333740670 3972143293575 4448800488804 5296191058100 5561000611005 7414667481340 7944286587150 9268334351675 11122001222010 15888573174300 18536668703350 22244002444020 27805003055025 37073337406700 55610006110050 111220012220100