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130217216 = 28508661
BaseRepresentation
bin1111100001011…
…11010100000000
3100002000201102212
413300233110000
5231313422331
620531001252
73140554013
oct760572400
9302021385
10130217216
1167560138
1237739228
1320c9360c
141341937a
15b672d2b
hex7c2f500

130217216 has 18 divisors (see below), whose sum is σ = 259926282. Its totient is φ = 65108480.

The previous prime is 130217167. The next prime is 130217231. The reversal of 130217216 is 612712031.

It can be written as a sum of positive squares in only one way, i.e., 82882816 + 47334400 = 9104^2 + 6880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130217191 and 130217200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254075 + ... + 254586.

It is an arithmetic number, because the mean of its divisors is an integer number (14440349).

Almost surely, 2130217216 is an apocalyptic number.

130217216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130217216 is a deficient number, since it is larger than the sum of its proper divisors (129709066).

130217216 is an frugal number, since it uses more digits than its factorization.

130217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508677 (or 508663 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 130217216 is about 11411.2758270055. The cubic root of 130217216 is about 506.8616916193.

Adding to 130217216 its reverse (612712031), we get a palindrome (742929247).

The spelling of 130217216 in words is "one hundred thirty million, two hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 508661 1017322 2034644 4069288 8138576 16277152 32554304 65108608 130217216