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10222330122303 = 3133532552137
BaseRepresentation
bin1001010011000001001001…
…0110110001000000111111
31100012020121202120200110120
42110300102112301000333
52314440313002403203
633424023523110023
72103352604244555
oct224602226610077
940166552520416
1010222330122303
1132912a1949652
1211911a5812313
13591c66813000
14274a98b65bd5
1512ad8d9a4b53
hex94c125b103f

10222330122303 has 48 divisors (see below), whose sum is σ = 15048940814880. Its totient is φ = 6171961725696.

The previous prime is 10222330122293. The next prime is 10222330122311. The reversal of 10222330122303 is 30322103322201.

It is not a de Polignac number, because 10222330122303 - 24 = 10222330122287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222330121303) by changing a digit.

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, 18238051 + ... + 18790187.

It is an arithmetic number, because the mean of its divisors is an integer number (313519600310).

Almost surely, 210222330122303 is an apocalyptic number.

10222330122303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10222330122303 is a deficient number, since it is larger than the sum of its proper divisors (4826610692577).

10222330122303 is an frugal number, since it uses more digits than its factorization.

10222330122303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552285 (or 552206 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10222330122303 its reverse (30322103322201), we get a palindrome (40544433444504).

The spelling of 10222330122303 in words is "ten trillion, two hundred twenty-two billion, three hundred thirty million, one hundred twenty-two thousand, three hundred three".

Divisors: 1 3 13 39 53 159 169 507 689 2067 2197 2809 6591 8427 8957 26871 36517 109551 116441 349323 474721 552137 1424163 1656411 6171373 7177781 18514119 21533343 29263261 87789783 93311153 279933459 380422393 1141267179 1213044989 1550952833 3639134967 4652858499 4945491109 14836473327 20162386829 60487160487 64291384417 192874153251 262111028777 786333086331 3407443374101 10222330122303