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103485853 is a prime number
BaseRepresentation
bin1100010101100…
…01000110011101
321012201121220101
412022301012131
5202443021403
614134021101
72364421012
oct612610635
9235647811
10103485853
11534624a9
122a7a7791
1318594343
14da5b709
15914271d
hex62b119d

103485853 has 2 divisors, whose sum is σ = 103485854. Its totient is φ = 103485852.

The previous prime is 103485847. The next prime is 103485859. The reversal of 103485853 is 358584301.

It is a balanced prime because it is at equal distance from previous prime (103485847) and next prime (103485859).

It can be written as a sum of positive squares in only one way, i.e., 63568729 + 39917124 = 7973^2 + 6318^2 .

It is a cyclic number.

It is not a de Polignac number, because 103485853 - 221 = 101388701 is a prime.

It is a super-2 number, since 2×1034858532 = 21418643542275218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103485859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51742926 + 51742927.

It is an arithmetic number, because the mean of its divisors is an integer number (51742927).

Almost surely, 2103485853 is an apocalyptic number.

It is an amenable number.

103485853 is a deficient number, since it is larger than the sum of its proper divisors (1).

103485853 is an equidigital number, since it uses as much as digits as its factorization.

103485853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 103485853 is about 10172.7996638094. The cubic root of 103485853 is about 469.4907007669.

The spelling of 103485853 in words is "one hundred three million, four hundred eighty-five thousand, eight hundred fifty-three".