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122103663 = 31137100003
BaseRepresentation
bin1110100011100…
…10011101101111
322111202111201220
413101302131233
5222224304123
620041034423
73011602233
oct721623557
9274674656
10122103663
1162a19320
1234a85a13
131c3b25b6
14123065c3
15aabdce3
hex747276f

122103663 has 16 divisors (see below), whose sum is σ = 182407296. Its totient is φ = 72001440.

The previous prime is 122103661. The next prime is 122103677. The reversal of 122103663 is 366301221.

It is a happy number.

It is not a de Polignac number, because 122103663 - 21 = 122103661 is a prime.

122103663 is a modest number, since divided by 3663 gives 1221 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103661) 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, 48781 + ... + 51222.

It is an arithmetic number, because the mean of its divisors is an integer number (11400456).

Almost surely, 2122103663 is an apocalyptic number.

122103663 is a deficient number, since it is larger than the sum of its proper divisors (60303633).

122103663 is a wasteful number, since it uses less digits than its factorization.

122103663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100054.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 122103663 is about 11050.0526243091. The cubic root of 122103663 is about 496.1080006212.

Adding to 122103663 its reverse (366301221), we get a palindrome (488404884).

The spelling of 122103663 in words is "one hundred twenty-two million, one hundred three thousand, six hundred sixty-three".

Divisors: 1 3 11 33 37 111 407 1221 100003 300009 1100033 3300099 3700111 11100333 40701221 122103663