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130441216 = 21315923
BaseRepresentation
bin1111100011001…
…10000000000000
3100002110002201011
413301212000000
5231343104331
620535450304
73142506043
oct761460000
9302402634
10130441216
11676a3464
1237826994
1321041569
1413476c5a
15b6b93b1
hex7c66000

130441216 has 28 divisors (see below), whose sum is σ = 260882892. Its totient is φ = 65216512.

The previous prime is 130441189. The next prime is 130441229. The reversal of 130441216 is 612144031.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

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, 231 + ... + 16153.

Almost surely, 2130441216 is an apocalyptic number.

130441216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130441446).

130441216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

130441216 is an frugal number, since it uses more digits than its factorization.

130441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15949 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 130441216 is about 11421.0864632048. The cubic root of 130441216 is about 507.1521600697.

Adding to 130441216 its reverse (612144031), we get a palindrome (742585247).

The spelling of 130441216 in words is "one hundred thirty million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 15923 31846 63692 127384 254768 509536 1019072 2038144 4076288 8152576 16305152 32610304 65220608 130441216