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10123306417348 = 2223439732098221
BaseRepresentation
bin1001001101010000010000…
…0101010011110011000100
31022211210000122000021020121
42103110010011103303010
52311330012420323343
633310325513311324
72063245653530365
oct223240405236304
938753018007217
1010123306417348
1132532a7616463
121175b6aa05544
13585815360b57
1426dd83641b6c
151284e5317aed
hex93504153cc4

10123306417348 has 96 divisors (see below), whose sum is σ = 19119236209920. Its totient is φ = 4678206382080.

The previous prime is 10123306417333. The next prime is 10123306417363. The reversal of 10123306417348 is 84371460332101.

It is an interprime number because it is at equal distance from previous prime (10123306417333) and next prime (10123306417363).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231391878 + ... + 1231400098.

It is an arithmetic number, because the mean of its divisors is an integer number (199158710520).

Almost surely, 210123306417348 is an apocalyptic number.

It is an amenable number.

10123306417348 is a deficient number, since it is larger than the sum of its proper divisors (8995929792572).

10123306417348 is a wasteful number, since it uses less digits than its factorization.

10123306417348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

Adding to 10123306417348 its reverse (84371460332101), we get a palindrome (94494766749449).

The spelling of 10123306417348 in words is "ten trillion, one hundred twenty-three billion, three hundred six million, four hundred seventeen thousand, three hundred forty-eight".

Divisors: 1 2 4 23 43 46 86 92 97 172 194 388 989 1978 2231 3209 3956 4171 4462 6418 8221 8342 8924 12836 16442 16684 32884 73807 95933 137987 147614 189083 191866 275974 295228 311273 353503 378166 383732 551948 622546 707006 756332 797437 1245092 1414012 1594874 3173701 3189748 6347402 7159279 8130569 12694804 13384739 14318558 16261138 18341051 26381189 26769478 28637116 32522276 34289791 36682102 52762378 53538956 68579582 73364204 105524756 137159164 307848997 606767347 615697994 788665193 1134391127 1213534694 1231395988 1577330386 2268782254 2427069388 2558975333 3154660772 4537564508 5117950666 10235901332 26090995921 52181991842 58856432659 104363983684 110035939319 117712865318 220071878638 235425730636 440143757276 2530826604337 5061653208674 10123306417348