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12232333103103 = 344712785929453
BaseRepresentation
bin1011001000000000111111…
…0111101000111111111111
31121022101210022210121110000
42302000033313220333333
53100403304233244403
642003242314445343
72401520421551151
oct262001767507777
947271708717400
1012232333103103
11399678115aa13
12145685b733853
136a9672569519
14304095d12ad1
151632cec2d7a3
hexb200fde8fff

12232333103103 has 80 divisors (see below), whose sum is σ = 18831257026560. Its totient is φ = 7909048090944.

The previous prime is 12232333103059. The next prime is 12232333103117. The reversal of 12232333103103 is 30130133323221.

12232333103103 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 33 + 310 + 310 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12232333103103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232333103143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 415302325 + ... + 415331777.

It is an arithmetic number, because the mean of its divisors is an integer number (235390712832).

Almost surely, 212232333103103 is an apocalyptic number.

12232333103103 is a deficient number, since it is larger than the sum of its proper divisors (6598923923457).

12232333103103 is a wasteful number, since it uses less digits than its factorization.

12232333103103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30498 (or 30489 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12232333103103 its reverse (30130133323221), we get a palindrome (42362466426324).

The spelling of 12232333103103 in words is "twelve trillion, two hundred thirty-two billion, three hundred thirty-three million, one hundred three thousand, one hundred three".

Divisors: 1 3 9 27 47 81 127 141 381 423 859 1143 1269 2577 3429 3807 5969 7731 10287 17907 23193 29453 40373 53721 69579 88359 109093 121119 161163 265077 327279 363357 483489 795231 981837 1090071 1384291 2385693 2945511 3270213 3740531 4152873 5127371 8836533 11221593 12458619 15382113 25300127 33664779 37375857 46146339 75900381 100994337 112127571 138439017 175804957 227701143 302983011 415317051 527414871 683103429 1189105969 1582244613 2049310287 3213116129 3567317907 4746733839 9639348387 10701953721 14240201517 28918045161 32105861163 86754135483 96317583489 151016458063 260262406449 453049374189 1359148122567 4077444367701 12232333103103