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123000031 = 71110714929
BaseRepresentation
bin1110101010011…
…01010011011111
322120110001022201
413111031103133
5222442000111
620112152331
73022324450
oct725152337
9276401281
10123000031
1163480820
12352386a7
131c6375ab
141249b127
15abe96c1
hex754d4df

123000031 has 16 divisors (see below), whose sum is σ = 154794240. Its totient is φ = 94942080.

The previous prime is 123000023. The next prime is 123000037. The reversal of 123000031 is 130000321.

It is a cyclic number.

It is not a de Polignac number, because 123000031 - 23 = 123000023 is a prime.

It is a super-2 number, since 2×1230000312 = 30258015252001922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122999981 and 123000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000037) 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, 775 + ... + 15703.

It is an arithmetic number, because the mean of its divisors is an integer number (9674640).

Almost surely, 2123000031 is an apocalyptic number.

123000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123000031 is a deficient number, since it is larger than the sum of its proper divisors (31794209).

123000031 is a wasteful number, since it uses less digits than its factorization.

123000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15054.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 123000031 is about 11090.5379039973. The cubic root of 123000031 is about 497.3190251070.

Adding to 123000031 its reverse (130000321), we get a palindrome (253000352).

It can be divided in two parts, 1 and 23000031, that added together give a palindrome (23000032).

The spelling of 123000031 in words is "one hundred twenty-three million, thirty-one", and thus it is an aban number.

Divisors: 1 7 11 77 107 749 1177 8239 14929 104503 164219 1149533 1597403 11181821 17571433 123000031