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101211006 = 23132335569
BaseRepresentation
bin1100000100001…
…01101101111110
321001110001101210
412002011231332
5201402223011
614013145250
72336164551
oct602055576
9231401353
10101211006
1152149366
1229a8b226
1317c78a90
14d628698
158d436a6
hex6085b7e

101211006 has 32 divisors (see below), whose sum is σ = 218967840. Its totient is φ = 31002624.

The previous prime is 101210987. The next prime is 101211007. The reversal of 101211006 is 600112101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101210982 and 101211000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15390 + ... + 20958.

It is an arithmetic number, because the mean of its divisors is an integer number (6842745).

Almost surely, 2101211006 is an apocalyptic number.

101211006 is an abundant number, since it is smaller than the sum of its proper divisors (117756834).

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

101211006 is a wasteful number, since it uses less digits than its factorization.

101211006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101211006 is about 10060.3680847174. The cubic root of 101211006 is about 466.0250344205.

Adding to 101211006 its reverse (600112101), we get a palindrome (701323107).

The spelling of 101211006 in words is "one hundred one million, two hundred eleven thousand, six".

Divisors: 1 2 3 6 13 26 39 78 233 466 699 1398 3029 5569 6058 9087 11138 16707 18174 33414 72397 144794 217191 434382 1297577 2595154 3892731 7785462 16868501 33737002 50605503 101211006