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20122103130320 = 245614123381789
BaseRepresentation
bin1001001001101000010101…
…10011110010100011010000
32122020122122222001012120202
410210310022303302203100
510114140031400132240
6110443544435554332
74144526321346362
oct444641263624320
978218588035522
1020122103130320
1164588106a9094
12230b96b75b9a8
13b2c6771139c9
144d7cb4a26d32
1524d64e7c1315
hex124d0acf28d0

20122103130320 has 40 divisors (see below), whose sum is σ = 47550838802280. Its totient is φ = 7916893032960.

The previous prime is 20122103130317. The next prime is 20122103130341. The reversal of 20122103130320 is 2303130122102.

It can be written as a sum of positive squares in 4 ways, for example, as 386794437184 + 19735308693136 = 621928^2 + 4442444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20122103130292 and 20122103130301.

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 7 ways as a sum of consecutive naturals, for example, 2061686015 + ... + 2061695774.

It is an arithmetic number, because the mean of its divisors is an integer number (1188770970057).

Almost surely, 220122103130320 is an apocalyptic number.

20122103130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122103130320 is an abundant number, since it is smaller than the sum of its proper divisors (27428735671960).

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

20122103130320 is a wasteful number, since it uses less digits than its factorization.

20122103130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123381863 (or 4123381857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20122103130320 its reverse (2303130122102), we get a palindrome (22425233252422).

The spelling of 20122103130320 in words is "twenty trillion, one hundred twenty-two billion, one hundred three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 4123381789 8246763578 16493527156 20616908945 32987054312 41233817890 65974108624 82467635780 164935271560 251526289129 329870543120 503052578258 1006105156516 1257631445645 2012210313032 2515262891290 4024420626064 5030525782580 10061051565160 20122103130320