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105548319921 = 31120871532551
BaseRepresentation
bin110001001001100101…
…0111000110010110001
3101002102211210012100010
41202103022320302301
53212130332214141
6120253242445133
710424404626222
oct1422312706261
9332384705303
10105548319921
1140843302a70
1218557b037a9
139c51140b95
145173c95249
152b2b3a1416
hex18932b8cb1

105548319921 has 16 divisors (see below), whose sum is σ = 153598491648. Its totient is φ = 63937986000.

The previous prime is 105548319893. The next prime is 105548319949. The reversal of 105548319921 is 129913845501.

It is an interprime number because it is at equal distance from previous prime (105548319893) and next prime (105548319949).

It is not a de Polignac number, because 105548319921 - 26 = 105548319857 is a prime.

It is a super-2 number, since 2×1055483199212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105548319421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697405 + ... + 835146.

It is an arithmetic number, because the mean of its divisors is an integer number (9599905728).

Almost surely, 2105548319921 is an apocalyptic number.

105548319921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105548319921 is a deficient number, since it is larger than the sum of its proper divisors (48050171727).

105548319921 is a wasteful number, since it uses less digits than its factorization.

105548319921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534652.

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 105548319921 in words is "one hundred five billion, five hundred forty-eight million, three hundred nineteen thousand, nine hundred twenty-one".

Divisors: 1 3 11 33 2087 6261 22957 68871 1532551 4597653 16858061 50574183 3198433937 9595301811 35182773307 105548319921