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21210010112100 = 22352235304757947
BaseRepresentation
bin1001101001010010101110…
…00111100101000001100100
32210002122202001221222221210
410310221113013211001210
510240001100042041400
6113035424422111420
74316241552204135
oct464512707450144
983078661858853
1021210010112100
116838129845547
12246678557b570
13bab1316b97a4
145347d9dbbc8c
1526bac377a950
hex134a571e5064

21210010112100 has 144 divisors (see below), whose sum is σ = 64038099299328. Its totient is φ = 5409894188160.

The previous prime is 21210010112099. The next prime is 21210010112201. The reversal of 21210010112100 is 121101001212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 365995327 + ... + 366053273.

It is an arithmetic number, because the mean of its divisors is an integer number (444709022912).

Almost surely, 221210010112100 is an apocalyptic number.

21210010112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210010112100 is an abundant number, since it is smaller than the sum of its proper divisors (42828089187228).

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

21210010112100 is a wasteful number, since it uses less digits than its factorization.

21210010112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111034 (or 111027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21210010112100 its reverse (121101001212), we get a palindrome (21331111113312).

The spelling of 21210010112100 in words is "twenty-one trillion, two hundred ten billion, ten million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 53047 57947 106094 115894 159141 173841 212188 231788 265235 289735 318282 347682 530470 579470 636564 695364 795705 869205 1060940 1158940 1220081 1326175 1332781 1448675 1591410 1738410 2440162 2652350 2665562 2897350 3182820 3476820 3660243 3978525 3998343 4346025 4880324 5304700 5331124 5794700 6100405 6663905 7320486 7957050 7996686 8692050 12200810 13327810 14640972 15914100 15993372 17384100 18301215 19991715 24401620 26655620 30502025 33319525 36602430 39983430 61004050 66639050 73204860 79966860 91506075 99958575 122008100 133278100 183012150 199917150 366024300 399834300 3073914509 6147829018 9221743527 12295658036 15369572545 18443487054 30739145090 36886974108 46108717635 61478290180 70700033707 76847862725 92217435270 141400067414 153695725450 184434870540 212100101121 230543588175 282800134828 307391450900 353500168535 424200202242 461087176350 707000337070 848400404484 922174352700 1060500505605 1414000674140 1767500842675 2121001011210 3535001685350 4242002022420 5302502528025 7070003370700 10605005056050 21210010112100