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101683504516 = 22114197158049
BaseRepresentation
bin101111010110011001…
…1110010010110000100
3100201110111110020021211
41132230303302112010
53131221434121031
6114413542221204
710226545345636
oct1365463622604
9321414406254
10101683504516
113a13a761a50
1217859724804
139786531a69
144cc8890a56
1529a1e30bb1
hex17accf2584

101683504516 has 48 divisors (see below), whose sum is σ = 199065988800. Its totient is φ = 45045248000.

The previous prime is 101683504513. The next prime is 101683504529. The reversal of 101683504516 is 615405386101.

It is not an unprimeable number, because it can be changed into a prime (101683504513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722660 + ... + 1780708.

It is an arithmetic number, because the mean of its divisors is an integer number (4147208100).

Almost surely, 2101683504516 is an apocalyptic number.

It is an amenable number.

101683504516 is a deficient number, since it is larger than the sum of its proper divisors (97382484284).

101683504516 is a wasteful number, since it uses less digits than its factorization.

101683504516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59076 (or 59074 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 101683504516 in words is "one hundred one billion, six hundred eighty-three million, five hundred four thousand, five hundred sixteen".

Divisors: 1 2 4 11 22 41 44 82 164 451 902 971 1804 1942 3884 10681 21362 39811 42724 58049 79622 116098 159244 232196 437921 638539 875842 1277078 1751684 2380009 2554156 4760018 9520036 26180099 52360198 56365579 104720396 112731158 225462316 620021369 1240042738 2310988739 2480085476 4621977478 9243954956 25420876129 50841752258 101683504516