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312111212123 = 237938321171
BaseRepresentation
bin1001000101010110100…
…01110010011001011011
31002211121120022100110002
410202223101302121123
520103200432241443
6355214254243215
731356256346564
oct4425321623133
91084546270402
10312111212123
11110402708217
12505a54b650b
1323580031409
141116b82d16b
1581baa9b2b8
hex48ab47265b

312111212123 has 24 divisors (see below), whose sum is σ = 330949547520. Its totient is φ = 293741482320.

The previous prime is 312111212113. The next prime is 312111212201. The reversal of 312111212123 is 321212111213.

It is not a de Polignac number, because 312111212123 - 26 = 312111212059 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312111212095 and 312111212104.

It is not an unprimeable number, because it can be changed into a prime (312111212113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266533328 + ... + 266534498.

It is an arithmetic number, because the mean of its divisors is an integer number (13789564480).

Almost surely, 2312111212123 is an apocalyptic number.

312111212123 is a deficient number, since it is larger than the sum of its proper divisors (18838335397).

312111212123 is an equidigital number, since it uses as much as digits as its factorization.

312111212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 1656 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 312111212123 its reverse (321212111213), we get a palindrome (633323323336).

The spelling of 312111212123 in words is "three hundred twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 23 79 383 1171 1817 8809 26933 30257 92509 146689 448493 695911 2127707 3373847 10315339 11588431 35430947 171772819 266533913 814911781 3950774837 13570052701 312111212123