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106205361426 = 23210954131173
BaseRepresentation
bin110001011101001010…
…1010011010100010010
3101011010122010100211200
41202322111103110102
53220002033031201
6120442353252030
710446603451143
oct1427225232422
9334118110750
10106205361426
1141050180a7a
12186bbb64016
13a0272bbc38
1451d7249aca
152b68dda386
hex18ba553512

106205361426 has 24 divisors (see below), whose sum is σ = 232222736460. Its totient is φ = 35076999456.

The previous prime is 106205361419. The next prime is 106205361433. The reversal of 106205361426 is 624163502601.

106205361426 is a `hidden beast` number, since 1 + 0 + 620 + 5 + 3 + 6 + 1 + 4 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (106205361419) and next prime (106205361433).

It can be written as a sum of positive squares in 2 ways, for example, as 102032330625 + 4173030801 = 319425^2 + 64599^2 .

It is a super-2 number, since 2×1062053614262 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27063625 + ... + 27067548.

Almost surely, 2106205361426 is an apocalyptic number.

106205361426 is an abundant number, since it is smaller than the sum of its proper divisors (126017375034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106205361426 is a wasteful number, since it uses less digits than its factorization.

106205361426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54131290 (or 54131287 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 106205361426 in words is "one hundred six billion, two hundred five million, three hundred sixty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 109 218 327 654 981 1962 54131173 108262346 162393519 324787038 487180557 974361114 5900297857 11800595714 17700893571 35401787142 53102680713 106205361426