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100245216 = 2531954959
BaseRepresentation
bin1011111100110…
…01111011100000
320222121222120210
411332121323200
5201130321331
613540334120
72325033051
oct576317340
9228558523
10100245216
1151649795
12296a4340
13179cb2c6
14d456728
158c02446
hex5f99ee0

100245216 has 48 divisors (see below), whose sum is σ = 276998400. Its totient is φ = 31655808.

The previous prime is 100245203. The next prime is 100245241. The reversal of 100245216 is 612542001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100245192 and 100245201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25656 + ... + 29303.

It is an arithmetic number, because the mean of its divisors is an integer number (5770800).

Almost surely, 2100245216 is an apocalyptic number.

100245216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100245216 is an abundant number, since it is smaller than the sum of its proper divisors (176753184).

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

100245216 is a wasteful number, since it uses less digits than its factorization.

100245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54991 (or 54983 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100245216 is about 10012.2532928407. The cubic root of 100245216 is about 464.5379709513.

Adding to 100245216 its reverse (612542001), we get a palindrome (712787217).

The spelling of 100245216 in words is "one hundred million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 54959 109918 164877 219836 329754 439672 659508 879344 1044221 1319016 1758688 2088442 2638032 3132663 4176884 5276064 6265326 8353768 12530652 16707536 25061304 33415072 50122608 100245216