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123101313 = 3232936089
BaseRepresentation
bin1110101011001…
…10000010000001
322120122012020220
413111212002001
5223003220223
620114253253
73023225646
oct725460201
9276565226
10123101313
116353a925
1235287229
131c67171a
14124c5dcd
15ac196e3
hex7566081

123101313 has 16 divisors (see below), whose sum is σ = 171884160. Its totient is φ = 78218624.

The previous prime is 123101309. The next prime is 123101327. The reversal of 123101313 is 313101321.

It is a cyclic number.

It is not a de Polignac number, because 123101313 - 22 = 123101309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123101292 and 123101301.

It is not an unprimeable number, because it can be changed into a prime (123101333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17173 + ... + 23261.

It is an arithmetic number, because the mean of its divisors is an integer number (10742760).

Almost surely, 2123101313 is an apocalyptic number.

It is an amenable number.

123101313 is a deficient number, since it is larger than the sum of its proper divisors (48782847).

123101313 is a wasteful number, since it uses less digits than its factorization.

123101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 123101313 is about 11095.1031090297. The cubic root of 123101313 is about 497.4554902395.

Adding to 123101313 its reverse (313101321), we get a palindrome (436202634).

The spelling of 123101313 in words is "one hundred twenty-three million, one hundred one thousand, three hundred thirteen".

Divisors: 1 3 23 69 293 879 6089 6739 18267 20217 140047 420141 1784077 5352231 41033771 123101313