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12103031322123 = 372618111664279
BaseRepresentation
bin1011000000011111010011…
…1000011111011000001011
31120212001001001200120020220
42300013310320133120023
53041244002004301443
641424020020521123
72356262253546600
oct260076470373013
946761031616226
1012103031322123
1139469597240a5
1214357948501a3
1369a40722c551
142dbb0b47a6a7
1515ec63339a83
hexb01f4e1f60b

12103031322123 has 48 divisors (see below), whose sum is σ = 19103324808960. Its totient is φ = 6794248507200.

The previous prime is 12103031322061. The next prime is 12103031322149. The reversal of 12103031322123 is 32122313030121.

12103031322123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12103031322123 - 221 = 12103029224971 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12103031322093 and 12103031322102.

It is not an unprimeable number, because it can be changed into a prime (12103031322623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6440098 + ... + 8104376.

It is an arithmetic number, because the mean of its divisors is an integer number (397985933520).

Almost surely, 212103031322123 is an apocalyptic number.

12103031322123 is a deficient number, since it is larger than the sum of its proper divisors (7000293486837).

12103031322123 is a wasteful number, since it uses less digits than its factorization.

12103031322123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665168 (or 1665161 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12103031322123 its reverse (32122313030121), we get a palindrome (44225344352244).

The spelling of 12103031322123 in words is "twelve trillion, one hundred three billion, thirty-one million, three hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 21 49 61 147 183 427 811 1281 2433 2989 5677 8967 17031 39739 49471 119217 148413 346297 1038891 1664279 2424079 4992837 7272237 11649953 34949859 81549671 101521019 244649013 304563057 710647133 1349730269 2131941399 4049190807 4974529931 9448111883 14923589793 28344335649 66136783181 82333546409 198410349543 247000639227 576334824863 1729004474589 4034343774041 12103031322123