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106722473000 = 235311132293259
BaseRepresentation
bin110001101100100100…
…1111011010000101000
3101012110200011100120012
41203121021323100220
53222031423114000
6121005544551052
710465453024103
oct1433111732050
9335420140505
10106722473000
1141296065610
1218825182488
13a0aa485810
145245bb773a
152b994d3735
hex18d927b428

106722473000 has 256 divisors, whose sum is σ = 294761376000. Its totient is φ = 35655552000.

The previous prime is 106722472999. The next prime is 106722473003. The reversal of 106722473000 is 374227601.

It is a super-2 number, since 2×1067224730002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106722473003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32745371 + ... + 32748629.

It is an arithmetic number, because the mean of its divisors is an integer number (1151411625).

Almost surely, 2106722473000 is an apocalyptic number.

106722473000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106722473000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147380688000).

106722473000 is an abundant number, since it is smaller than the sum of its proper divisors (188038903000).

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

106722473000 is a wasteful number, since it uses less digits than its factorization.

106722473000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 106722473000 in words is "one hundred six billion, seven hundred twenty-two million, four hundred seventy-three thousand".