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103442211222301 = 7217294282080193
BaseRepresentation
bin10111100001010010000100…
…010000010011001100011101
3111120020222102120000102222101
4113201102010100103030131
5102024244122033103201
61004000410143245101
730534311265600400
oct2741220420231435
9446228376012871
10103442211222301
112aa61660558336
12b7279632a9791
1345947354c70a3
141b788b5dd7d37
15be5b815cad01
hex5e148441331d

103442211222301 has 24 divisors (see below), whose sum is σ = 131802428371320. Its totient is φ = 80571620892672.

The previous prime is 103442211222263. The next prime is 103442211222323. The reversal of 103442211222301 is 103222112244301.

It can be written as a sum of positive squares in 4 ways, for example, as 41885476666201 + 61556734556100 = 6471899^2 + 7845810^2 .

It is not a de Polignac number, because 103442211222301 - 211 = 103442211220253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103442211222301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103442211223301) 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 23 ways as a sum of consecutive naturals, for example, 2141015940 + ... + 2141064253.

It is an arithmetic number, because the mean of its divisors is an integer number (5491767848805).

Almost surely, 2103442211222301 is an apocalyptic number.

It is an amenable number.

103442211222301 is a deficient number, since it is larger than the sum of its proper divisors (28360217149019).

103442211222301 is a wasteful number, since it uses less digits than its factorization.

103442211222301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282080253 (or 4282080246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 103442211222301 its reverse (103222112244301), we get a palindrome (206664323466602).

The spelling of 103442211222301 in words is "one hundred three trillion, four hundred forty-two billion, two hundred eleven million, two hundred twenty-two thousand, three hundred one".

Divisors: 1 7 17 29 49 119 203 493 833 1421 3451 24157 4282080193 29974561351 72795363281 124180325597 209821929457 509567542967 869262279179 2111065535149 3566972800769 6084835954253 14777458746043 103442211222301