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312103101123 = 32116793464089
BaseRepresentation
bin1001000101010101100…
…10110110001011000011
31002211121000001021020200
410202222302312023003
520103141343213443
6355213404340243
731356130405422
oct4425262661303
91084530037220
10312103101123
111103a9078310
12505a2844683
132357b4515c8
141116a71b2b9
1581b9ee7dd3
hex48aacb62c3

312103101123 has 24 divisors (see below), whose sum is σ = 491872283760. Its totient is φ = 189125141760.

The previous prime is 312103101109. The next prime is 312103101137. The reversal of 312103101123 is 321101301213.

312103101123 is a `hidden beast` number, since 31 + 210 + 310 + 112 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (312103101109) and next prime (312103101137).

It is not a de Polignac number, because 312103101123 - 217 = 312102970051 is a prime.

It is a super-3 number, since 3×3121031011233 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 312103101096 and 312103101105.

It is not an unprimeable number, because it can be changed into a prime (312103101143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440463 + ... + 904551.

It is an arithmetic number, because the mean of its divisors is an integer number (20494678490).

Almost surely, 2312103101123 is an apocalyptic number.

312103101123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312103101123 is a deficient number, since it is larger than the sum of its proper divisors (179769182637).

312103101123 is a wasteful number, since it uses less digits than its factorization.

312103101123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470899 (or 470896 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312103101123 its reverse (321101301213), we get a palindrome (633204402336).

The spelling of 312103101123 in words is "three hundred twelve billion, one hundred three million, one hundred one thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 6793 20379 61137 74723 224169 464089 672507 1392267 4176801 5104979 15314937 45944811 3152556577 9457669731 28373009193 34678122347 104034367041 312103101123