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101055012006 = 231311811097017
BaseRepresentation
bin101111000011101011…
…0010001110010100110
3100122211200211111122110
41132013112101302212
53123430040341011
6114231331341450
710205144300154
oct1360726216246
9318750744573
10101055012006
1139947a13253
1217703151886
1396b626b3c0
144c6920c3d4
152966b85ba6
hex1787591ca6

101055012006 has 32 divisors (see below), whose sum is σ = 217841446368. Its totient is φ = 31067493120.

The previous prime is 101055011989. The next prime is 101055012011. The reversal of 101055012006 is 600210550101.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 456391 + ... + 640626.

It is an arithmetic number, because the mean of its divisors is an integer number (6807545199).

Almost surely, 2101055012006 is an apocalyptic number.

101055012006 is an abundant number, since it is smaller than the sum of its proper divisors (116786434362).

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

101055012006 is a wasteful number, since it uses less digits than its factorization.

101055012006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098216.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 101055012006 its reverse (600210550101), we get a palindrome (701265562107).

The spelling of 101055012006 in words is "one hundred one billion, fifty-five million, twelve thousand, six".

Divisors: 1 2 3 6 13 26 39 78 1181 2362 3543 7086 15353 30706 46059 92118 1097017 2194034 3291051 6582102 14261221 28522442 42783663 85567326 1295577077 2591154154 3886731231 7773462462 16842502001 33685004002 50527506003 101055012006