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12101008 = 241722617
BaseRepresentation
bin101110001010…
…010110010000
3211202210110111
4232022112100
511044213013
61111211104
7204566623
oct56122620
924683414
1012101008
116915737
124076a94
132678c7a
14186ddba
1510e073d
hexb8a590

12101008 has 30 divisors (see below), whose sum is σ = 24915506. Its totient is φ = 5692416.

The previous prime is 12101003. The next prime is 12101009. The reversal of 12101008 is 80010121.

It can be written as a sum of positive squares in 3 ways, for example, as 8596624 + 3504384 = 2932^2 + 1872^2 .

It is not an unprimeable number, because it can be changed into a prime (12101003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3316 + ... + 5932.

Almost surely, 212101008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457753).

12101008 is an abundant number, since it is smaller than the sum of its proper divisors (12814498).

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

12101008 is a wasteful number, since it uses less digits than its factorization.

12101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 12101008 is about 3478.6503129806. The cubic root of 12101008 is about 229.5834173215.

Adding to 12101008 its reverse (80010121), we get a palindrome (92111129).

The spelling of 12101008 in words is "twelve million, one hundred one thousand, eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 2617 4624 5234 10468 20936 41872 44489 88978 177956 355912 711824 756313 1512626 3025252 6050504 12101008