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101232128 = 291631213
BaseRepresentation
bin1100000100010…
…10111000000000
321001111010101002
412002022320000
5201403412003
614013431132
72336313254
oct602127000
9231433332
10101232128
1152163218
1229a9b4a8
1317c8558a
14d632264
158d49a88
hex608ae00

101232128 has 40 divisors (see below), whose sum is σ = 203675208. Its totient is φ = 50264064.

The previous prime is 101232121. The next prime is 101232137. The reversal of 101232128 is 821232101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82850 + ... + 84062.

Almost surely, 2101232128 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 101232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101837604).

101232128 is an abundant number, since it is smaller than the sum of its proper divisors (102443080).

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

101232128 is an equidigital number, since it uses as much as digits as its factorization.

101232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 101232128 is about 10061.4177927368. The cubic root of 101232128 is about 466.0574508427.

Adding to 101232128 its reverse (821232101), we get a palindrome (922464229).

The spelling of 101232128 in words is "one hundred one million, two hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 512 652 1213 1304 2426 2608 4852 5216 9704 10432 19408 20864 38816 41728 77632 83456 155264 197719 310528 395438 621056 790876 1581752 3163504 6327008 12654016 25308032 50616064 101232128