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101001006 = 235207821
BaseRepresentation
bin1100000010100…
…10011100101110
321001001101100000
412001102130232
5201324013011
614004445130
72334331401
oct601223456
9231041300
10101001006
1152015607
12299a97a6
1317c04312
14d5b1d38
158d01356
hex605272e

101001006 has 24 divisors (see below), whose sum is σ = 226941624. Its totient is φ = 33666840.

The previous prime is 101001001. The next prime is 101001011. The reversal of 101001006 is 600100101.

It is an interprime number because it is at equal distance from previous prime (101001001) and next prime (101001011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103425 + ... + 104396.

It is an arithmetic number, because the mean of its divisors is an integer number (9455901).

Almost surely, 2101001006 is an apocalyptic number.

101001006 is an abundant number, since it is smaller than the sum of its proper divisors (125940618).

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

101001006 is an equidigital number, since it uses as much as digits as its factorization.

101001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207838 (or 207826 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101001006 is about 10049.9256713669. The cubic root of 101001006 is about 465.7024969639.

Adding to 101001006 its reverse (600100101), we get a palindrome (701101107).

The spelling of 101001006 in words is "one hundred one million, one thousand, six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 207821 415642 623463 1246926 1870389 3740778 5611167 11222334 16833501 33667002 50500503 101001006