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2121110000220 = 2235432832905073
BaseRepresentation
bin11110110111011100000…
…000100001001001011100
321111202221210200022111210
4132313130000201021130
5234223013130001340
64302231404344420
7306150040343511
oct36673400411134
97452853608453
102121110000220
11748615330562
122a3103545110
131250346c10b3
147493b3b9308
153a295642180
hex1eddc02125c

2121110000220 has 96 divisors (see below), whose sum is σ = 6098703190272. Its totient is φ = 550522764288.

The previous prime is 2121110000197. The next prime is 2121110000267. The reversal of 2121110000220 is 220000111212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2121110000196 and 2121110000205.

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 31 ways as a sum of consecutive naturals, for example, 722397 + ... + 2182676.

It is an arithmetic number, because the mean of its divisors is an integer number (63528158232).

Almost surely, 22121110000220 is an apocalyptic number.

2121110000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121110000220 is an abundant number, since it is smaller than the sum of its proper divisors (3977593190052).

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

2121110000220 is a wasteful number, since it uses less digits than its factorization.

2121110000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905411 (or 2905409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2121110000220 its reverse (220000111212), we get a palindrome (2341110111432).

The spelling of 2121110000220 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 283 430 516 566 645 849 860 1132 1290 1415 1698 2580 2830 3396 4245 5660 8490 12169 16980 24338 36507 48676 60845 73014 121690 146028 182535 243380 365070 730140 2905073 5810146 8715219 11620292 14525365 17430438 29050730 34860876 43576095 58101460 87152190 124918139 174304380 249836278 374754417 499672556 624590695 749508834 822135659 1249181390 1499017668 1644271318 1873772085 2466406977 2498362780 3288542636 3747544170 4110678295 4932813954 7495088340 8221356590 9865627908 12332034885 16442713180 24664069770 35351833337 49328139540 70703666674 106055500011 141407333348 176759166685 212111000022 353518333370 424222000044 530277500055 707036666740 1060555000110 2121110000220