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123003100031 = 7129713548089
BaseRepresentation
bin111001010001110001…
…1100101101101111111
3102202111022000220021112
41302203203211231333
54003402243200111
6132301251152235
711613063046040
oct1624343455577
9382438026245
10123003100031
1148190052679
121ba095a567b
13b7a3415936
145d4c1188c7
1532ed95ce8b
hex1ca38e5b7f

123003100031 has 8 divisors (see below), whose sum is σ = 140683366560. Its totient is φ = 105349932288.

The previous prime is 123003100021. The next prime is 123003100037. The reversal of 123003100031 is 130001300321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123003100031 - 230 = 121929358207 is a prime.

It is a super-2 number, since 2×1230031000312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123003099979 and 123003100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123003100037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6764966 + ... + 6783123.

It is an arithmetic number, because the mean of its divisors is an integer number (17585420820).

Almost surely, 2123003100031 is an apocalyptic number.

123003100031 is a deficient number, since it is larger than the sum of its proper divisors (17680266529).

123003100031 is a wasteful number, since it uses less digits than its factorization.

123003100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13549393.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 123003100031 its reverse (130001300321), we get a palindrome (253004400352).

The spelling of 123003100031 in words is "one hundred twenty-three billion, three million, one hundred thousand, thirty-one".

Divisors: 1 7 1297 9079 13548089 94836623 17571871433 123003100031