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2121223202320 = 245471009559123
BaseRepresentation
bin11110110111100010110…
…000010110011000010000
321111210020200200120121011
4132313202300112120100
5234223231114433240
64302250530540304
7306152613503005
oct36674260263020
97453220616534
102121223202320
11748673219a12
122a3135437694
13125051ca7aa1
147494c4458ac
153a2a05536ea
hex1ede2c16610

2121223202320 has 80 divisors (see below), whose sum is σ = 5041777662720. Its totient is φ = 829611804672.

The previous prime is 2121223202297. The next prime is 2121223202333. The reversal of 2121223202320 is 232023221212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2121223202291 and 2121223202300.

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 15 ways as a sum of consecutive naturals, for example, 3514279 + ... + 4073401.

It is an arithmetic number, because the mean of its divisors is an integer number (63022220784).

Almost surely, 22121223202320 is an apocalyptic number.

2121223202320 is a gapful number since it is divisible by the number (20) 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 2121223202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520888831360).

2121223202320 is an abundant number, since it is smaller than the sum of its proper divisors (2920554460400).

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

2121223202320 is a wasteful number, since it uses less digits than its factorization.

2121223202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560192 (or 560186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2121223202320 its reverse (232023221212), we get a palindrome (2353246423532).

The spelling of 2121223202320 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1009 1880 2018 3760 4036 5045 8072 10090 16144 20180 40360 47423 80720 94846 189692 237115 379384 474230 559123 758768 948460 1118246 1896920 2236492 2795615 3793840 4472984 5591230 8945968 11182460 22364920 26278781 44729840 52557562 105115124 131393905 210230248 262787810 420460496 525575620 564155107 1051151240 1128310214 2102302480 2256620428 2820775535 4513240856 5641551070 9026481712 11283102140 22566204280 26515290029 45132408560 53030580058 106061160116 132576450145 212122320232 265152900290 424244640464 530305800580 1060611601160 2121223202320