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512016101303321 = 172916710357600463
BaseRepresentation
bin111010001101011010000100…
…1110101100110010000011001
32111010220021001110002201001102
41310122310021311212100121
51014102332433413201241
65012544541050401145
7212563641206001446
oct16432641165462031
92433807043081042
10512016101303321
11139164899a5411a
12495141984301b5
1318c90bacb18594
1490619d661a9cd
153e2daa917539b
hex1d1ad09d66419

512016101303321 has 32 divisors (see below), whose sum is σ = 564242666480640. Its totient is φ = 462448816413696.

The previous prime is 512016101303297. The next prime is 512016101303327. The reversal of 512016101303321 is 123303101610215.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-512016101303321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512016101303327) 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 31 ways as a sum of consecutive naturals, for example, 852401936 + ... + 853002398.

It is an arithmetic number, because the mean of its divisors is an integer number (17632583327520).

Almost surely, 2512016101303321 is an apocalyptic number.

It is an amenable number.

512016101303321 is a deficient number, since it is larger than the sum of its proper divisors (52226565177319).

512016101303321 is a wasteful number, since it uses less digits than its factorization.

512016101303321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611033.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 512016101303321 its reverse (123303101610215), we get a palindrome (635319202913536).

The spelling of 512016101303321 in words is "five hundred twelve trillion, sixteen billion, one hundred one million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 17 29 167 493 2839 4843 10357 82331 176069 300353 600463 1729619 5106001 10207871 17413427 29403523 50158951 100277321 296028259 852702167 1704714457 2908042309 6218995291 49436719253 105722919947 180350863439 1038572213597 3065964678463 17655727631149 30118594194313 512016101303321