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10342114024305 = 3574322811100417
BaseRepresentation
bin1001011001111111011000…
…0010000101101101110001
31100121200210201010101020110
42112133312002011231301
52323421122142234210
633555033535531533
72115123140514630
oct226376602055561
940550721111213
1010342114024305
11332807a826088
1211b0455089ba9
135a0345cc7a2b
1427a7bd4d9517
1512e04e9c1420
hex967f6085b71

10342114024305 has 64 divisors (see below), whose sum is σ = 19352132794368. Its totient is φ = 4617625743360.

The previous prime is 10342114024267. The next prime is 10342114024309. The reversal of 10342114024305 is 50342041124301.

It is not a de Polignac number, because 10342114024305 - 26 = 10342114024241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10342114024309) 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 63 ways as a sum of consecutive naturals, for example, 102941457 + ... + 103041873.

It is an arithmetic number, because the mean of its divisors is an integer number (302377074912).

Almost surely, 210342114024305 is an apocalyptic number.

10342114024305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10342114024305 is a deficient number, since it is larger than the sum of its proper divisors (9010018770063).

10342114024305 is a wasteful number, since it uses less digits than its factorization.

10342114024305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123286.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10342114024305 its reverse (50342041124301), we get a palindrome (60684155148606).

The spelling of 10342114024305 in words is "ten trillion, three hundred forty-two billion, one hundred fourteen million, twenty-four thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 43 105 129 215 301 645 903 1505 4515 22811 68433 100417 114055 159677 301251 342165 479031 502085 702919 798385 980873 1506255 2108757 2395155 2942619 3514595 4317931 4904365 6866111 10543785 12953793 14713095 20598333 21589655 30225517 34330555 64768965 90676551 102991665 151127585 453382755 2290612187 6871836561 11453060935 16034285309 34359182805 48102855927 80171426545 98496324041 240514279635 295488972123 492481620205 689474268287 1477444860615 2068422804861 3447371341435 10342114024305