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101204224 = 281183433
BaseRepresentation
bin1100000100001…
…00000100000000
321001102201002121
412002010010000
5201402013344
614013054024
72336136022
oct602040400
9231381077
10101204224
1152144260
1229a87314
1317c75974
14d626012
158d41684
hex6084100

101204224 has 72 divisors (see below), whose sum is σ = 223548192. Its totient is φ = 45342720.

The previous prime is 101204221. The next prime is 101204231. The reversal of 101204224 is 422402101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101204198 and 101204207.

It is not an unprimeable number, because it can be changed into a prime (101204221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233512 + ... + 233944.

It is an arithmetic number, because the mean of its divisors is an integer number (3104836).

Almost surely, 2101204224 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 101204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111774096).

101204224 is an abundant number, since it is smaller than the sum of its proper divisors (122343968).

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

101204224 is an equidigital number, since it uses as much as digits as its factorization.

101204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 101204224 is about 10060.0310138687. The cubic root of 101204224 is about 466.0146249716.

Adding to 101204224 its reverse (422402101), we get a palindrome (523606325).

The spelling of 101204224 in words is "one hundred one million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 176 256 332 352 433 664 704 866 913 1328 1408 1732 1826 2656 2816 3464 3652 4763 5312 6928 7304 9526 10624 13856 14608 19052 21248 27712 29216 35939 38104 55424 58432 71878 76208 110848 116864 143756 152416 233728 287512 304832 395329 575024 609664 790658 1150048 1219328 1581316 2300096 3162632 4600192 6325264 9200384 12650528 25301056 50602112 101204224