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312123002103 = 33112199480091
BaseRepresentation
bin1001000101010111111…
…10110000110011110111
31002211122101111100021000
410202223332300303313
520103211442031403
6355215355054343
731356461512653
oct4425376606367
91084571440230
10312123002103
11110409330200
12505a94413b3
13235825cb933
141116d21ba63
1581bbb297a3
hex48abfb0cf7

312123002103 has 48 divisors (see below), whose sum is σ = 510817888000. Its totient is φ = 188214483600.

The previous prime is 312123002077. The next prime is 312123002137. The reversal of 312123002103 is 301200321213.

It is not a de Polignac number, because 312123002103 - 25 = 312123002071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123002143) 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 47 ways as a sum of consecutive naturals, for example, 410088 + ... + 890178.

Almost surely, 2312123002103 is an apocalyptic number.

312123002103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312123002103 is a deficient number, since it is larger than the sum of its proper divisors (198694885897).

312123002103 is a wasteful number, since it uses less digits than its factorization.

312123002103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480321 (or 480304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312123002103 its reverse (301200321213), we get a palindrome (613323323316).

The spelling of 312123002103 in words is "three hundred twelve billion, one hundred twenty-three million, two thousand, one hundred three".

Divisors: 1 3 9 11 27 33 99 121 199 297 363 597 1089 1791 2189 3267 5373 6567 19701 24079 59103 72237 216711 480091 650133 1440273 4320819 5281001 12962457 15843003 47529009 58091011 95538109 142587027 174273033 286614327 522819099 859842981 1050919199 1568457297 2579528943 3152757597 9458272791 11560111189 28374818373 34680333567 104041000701 312123002103