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123213127 = 17331809
BaseRepresentation
bin1110101100000…
…01010101000111
322120211212122011
413112001111013
5223020310002
620120515051
73024202642
oct726012507
9276755564
10123213127
1163606934
123531ba87
131c6b059b
1412514a59
15ac3c8d7
hex7581547

123213127 has 16 divisors (see below), whose sum is σ = 135302400. Its totient is φ = 112085760.

The previous prime is 123213091. The next prime is 123213137. The reversal of 123213127 is 721312321.

It is a happy number.

It is not a de Polignac number, because 123213127 - 223 = 114824519 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123213098 and 123213107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123213137) 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 in 15 ways as a sum of consecutive naturals, for example, 151899 + ... + 152707.

It is an arithmetic number, because the mean of its divisors is an integer number (8456400).

Almost surely, 2123213127 is an apocalyptic number.

123213127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

123213127 is a deficient number, since it is larger than the sum of its proper divisors (12089273).

123213127 is an frugal number, since it uses more digits than its factorization.

123213127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 857 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 123213127 is about 11100.1408549622. The cubic root of 123213127 is about 497.6060590529.

Adding to 123213127 its reverse (721312321), we get a palindrome (844525448).

The spelling of 123213127 in words is "one hundred twenty-three million, two hundred thirteen thousand, one hundred twenty-seven".

Divisors: 1 17 31 289 527 809 4913 8959 13753 25079 152303 233801 426343 3974617 7247831 123213127