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549807722101 = 112931796011171
BaseRepresentation
bin10000000000000110001…
…10000000111001110101
31221120011001020011011201
420000003012000321311
533002001234101401
61100324515332501
754502514346211
oct10000306007165
91846131204151
10549807722101
111a21991422a0
128a6815b1131
133cb011082a1
141c87a1c1941
15e47d696b01
hex8003180e75

549807722101 has 64 divisors (see below), whose sum is σ = 650229350400. Its totient is φ = 459950400000.

The previous prime is 549807722099. The next prime is 549807722117. The reversal of 549807722101 is 101227708945.

It is a 5-Lehmer number, since φ(549807722101) divides (549807722101-1)5.

It is a cyclic number.

It is not a de Polignac number, because 549807722101 - 21 = 549807722099 is a prime.

It is a deceptive number, since it divides R549807722100.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549807722131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469519246 + ... + 469520416.

It is an arithmetic number, because the mean of its divisors is an integer number (10159833600).

It is a Poulet number, since it divides 2549807722100-1.

Almost surely, 2549807722101 is an apocalyptic number.

549807722101 is the 331605-th centered decagonal number.

It is an amenable number.

549807722101 is a deficient number, since it is larger than the sum of its proper divisors (100421628299).

549807722101 is a wasteful number, since it uses less digits than its factorization.

549807722101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922.

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 549807722101 in words is "five hundred forty-nine billion, eight hundred seven million, seven hundred twenty-two thousand, one hundred one".

Divisors: 1 11 29 31 79 319 341 601 869 899 1171 2291 2449 6611 9889 12881 17429 18631 25201 26939 33959 36301 47479 71021 92509 191719 204941 373549 399311 522269 540299 703771 781231 1017599 1052729 1376891 1471849 2682761 2867779 5943289 7741481 11580019 15145801 16190339 20409359 21816901 29510371 31545569 42683621 55597909 83165591 224502949 239985911 469519831 611576999 632690129 914821501 1612339361 1723535179 6959591419 17735732971 18958886969 49982520191 549807722101