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120235310144345 = 511131162710256767
BaseRepresentation
bin11011010101101001110110…
…111100110101101101011001
3120202201101100111022220102202
4123111221312330311231121
5111224413403344104340
61103415201113535545
734216500033334334
oct3325516674655531
9522641314286382
10120235310144345
1135346566059490
121159a4aa1145b5
1352121aacaca86
1421995c491161b
15dd78e29bec15
hex6d5a76f35b59

120235310144345 has 32 divisors (see below), whose sum is σ = 158697965961216. Its totient is φ = 86723007883200.

The previous prime is 120235310144309. The next prime is 120235310144357. The reversal of 120235310144345 is 543441013532021.

It is a de Polignac number, because none of the positive numbers 2k-120235310144345 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120235310144299 and 120235310144308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6594152 + ... + 16850918.

It is an arithmetic number, because the mean of its divisors is an integer number (4959311436288).

Almost surely, 2120235310144345 is an apocalyptic number.

It is an amenable number.

120235310144345 is a deficient number, since it is larger than the sum of its proper divisors (38462655816871).

120235310144345 is a wasteful number, since it uses less digits than its factorization.

120235310144345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10258541.

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 120235310144345 its reverse (543441013532021), we get a palindrome (663676323676366).

The spelling of 120235310144345 in words is "one hundred twenty trillion, two hundred thirty-five billion, three hundred ten million, one hundred forty-four thousand, three hundred forty-five".

Divisors: 1 5 11 55 131 655 1441 1627 7205 8135 17897 89485 213137 1065685 2344507 10256767 11722535 51283835 112824437 564122185 1343636477 6718182385 14780001247 16687759909 73900006235 83438799545 183565358999 917826794995 2186096548079 10930482740395 24047062028869 120235310144345