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101365216 = 2579101397
BaseRepresentation
bin1100000101010…
…11010111100000
321001201212221021
412002223113200
5201422141331
614020335224
72340406261
oct602532740
9231655837
10101365216
1152244207
1229b44514
1318001024
14d668968
158d74211
hex60ab5e0

101365216 has 48 divisors (see below), whose sum is σ = 204603840. Its totient is φ = 49420800.

The previous prime is 101365213. The next prime is 101365259. The reversal of 101365216 is 612563101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101365211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255130 + ... + 255526.

It is an arithmetic number, because the mean of its divisors is an integer number (4262580).

Almost surely, 2101365216 is an apocalyptic number.

101365216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101365216 is an abundant number, since it is smaller than the sum of its proper divisors (103238624).

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

101365216 is a wasteful number, since it uses less digits than its factorization.

101365216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 101365216 is about 10068.0294000365. The cubic root of 101365216 is about 466.2616004320.

The spelling of 101365216 in words is "one hundred one million, three hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 79 101 158 202 316 397 404 632 794 808 1264 1588 1616 2528 3176 3232 6352 7979 12704 15958 31363 31916 40097 62726 63832 80194 125452 127664 160388 250904 255328 320776 501808 641552 1003616 1283104 3167663 6335326 12670652 25341304 50682608 101365216