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106432210580 = 2255321610529
BaseRepresentation
bin110001100011111011…
…0101010011010010100
3101011201102222111101012
41203013312222122110
53220433121214310
6120521055351352
710455326602013
oct1430766523224
9334642874335
10106432210580
1141157232113
1218763b22558
13a0622b6cc7
14521941aa7a
152b7dc99c05
hex18c7daa694

106432210580 has 12 divisors (see below), whose sum is σ = 223507642260. Its totient is φ = 42572884224.

The previous prime is 106432210579. The next prime is 106432210609. The reversal of 106432210580 is 85012234601.

It can be written as a sum of positive squares in 2 ways, for example, as 27887664016 + 78544546564 = 166996^2 + 280258^2 .

It is a super-3 number, since 3×1064322105803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2660805245 + ... + 2660805284.

It is an arithmetic number, because the mean of its divisors is an integer number (18625636855).

Almost surely, 2106432210580 is an apocalyptic number.

106432210580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106432210580 is an abundant number, since it is smaller than the sum of its proper divisors (117075431680).

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

106432210580 is a wasteful number, since it uses less digits than its factorization.

106432210580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321610538 (or 5321610536 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 106432210580 in words is "one hundred six billion, four hundred thirty-two million, two hundred ten thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 5321610529 10643221058 21286442116 26608052645 53216105290 106432210580