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2202120202100 = 2252713832915557
BaseRepresentation
bin100000000010111000100…
…101111010011101110100
321210112001112122221222012
4200002320211322131310
5242034420232431400
64403350130223352
7315045406606220
oct40027045723564
97715045587865
102202120202100
11779a06499225
122b6951724b58
1312c874bc57b0
1478824399780
153c437659d35
hex200b897a774

2202120202100 has 144 divisors (see below), whose sum is σ = 5952216617088. Its totient is φ = 688537704960.

The previous prime is 2202120202097. The next prime is 2202120202123. The reversal of 2202120202100 is 12020212022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702479 + ... + 2213078.

Almost surely, 22202120202100 is an apocalyptic number.

2202120202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202120202100 is an abundant number, since it is smaller than the sum of its proper divisors (3750096414988).

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

2202120202100 is a wasteful number, since it uses less digits than its factorization.

2202120202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915674 (or 2915667 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202120202100 its reverse (12020212022), we get a palindrome (2214140414122).

The spelling of 2202120202100 in words is "two trillion, two hundred two billion, one hundred twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 83 91 100 130 140 166 175 182 260 325 332 350 364 415 455 581 650 700 830 910 1079 1162 1300 1660 1820 2075 2158 2275 2324 2905 4150 4316 4550 5395 5810 7553 8300 9100 10790 11620 14525 15106 21580 26975 29050 30212 37765 53950 58100 75530 107900 151060 188825 377650 755300 2915557 5831114 11662228 14577785 20408899 29155570 37902241 40817798 58311140 72888925 75804482 81635596 102044495 145777850 151608964 189511205 204088990 241991231 265315687 291555700 379022410 408177980 483982462 510222475 530631374 758044820 947556025 967964924 1020444950 1061262748 1209956155 1326578435 1693938617 1895112050 2040889900 2419912310 2653156870 3145886003 3387877234 3790224100 4839824620 5306313740 6049780775 6291772006 6632892175 6775754468 8469693085 12099561550 12583544012 13265784350 15729430015 16939386170 22021202021 24199123100 26531568700 31458860030 33878772340 42348465425 44042404042 62917720060 78647150075 84696930850 88084808084 110106010105 157294300150 169393861700 220212020210 314588600300 440424040420 550530050525 1101060101050 2202120202100