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130522112 = 2107131139
BaseRepresentation
bin1111100011110…
…01110000000000
3100002121012200022
413301321300000
5231403201422
620541313012
73143263640
oct761716000
9302535608
10130522112
1167749216
1237865768
132106c326
1413498520
15b6d3342
hex7c79c00

130522112 has 88 divisors (see below), whose sum is σ = 302628480. Its totient is φ = 55111680.

The previous prime is 130522111. The next prime is 130522129. The reversal of 130522112 is 211225031.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130522111) 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, 938939 + ... + 939077.

It is an arithmetic number, because the mean of its divisors is an integer number (3438960).

Almost surely, 2130522112 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 130522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151314240).

130522112 is an abundant number, since it is smaller than the sum of its proper divisors (172106368).

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

130522112 is a wasteful number, since it uses less digits than its factorization.

130522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 130522112 is about 11424.6274337503. The cubic root of 130522112 is about 507.2569789404.

Adding to 130522112 its reverse (211225031), we get a palindrome (341747143).

The spelling of 130522112 in words is "one hundred thirty million, five hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 139 224 256 262 278 448 512 524 556 896 917 973 1024 1048 1112 1792 1834 1946 2096 2224 3584 3668 3892 4192 4448 7168 7336 7784 8384 8896 14672 15568 16768 17792 18209 29344 31136 33536 35584 36418 58688 62272 67072 71168 72836 117376 124544 127463 134144 142336 145672 234752 249088 254926 291344 469504 498176 509852 582688 939008 996352 1019704 1165376 2039408 2330752 4078816 4661504 8157632 9323008 16315264 18646016 32630528 65261056 130522112