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130321312 = 25112316097
BaseRepresentation
bin1111100010010…
…00101110100000
3100002020000020021
413301020232200
5231330240222
620533123224
73141466342
oct761105640
9302200207
10130321312
1167621370
1237789514
1320ccbb04
1413445292
15b693ac7
hex7c48ba0

130321312 has 48 divisors (see below), whose sum is σ = 292082112. Its totient is φ = 56657920.

The previous prime is 130321307. The next prime is 130321313. The reversal of 130321312 is 213123031.

It is a super-2 number, since 2×1303213122 = 33967288722802688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (130321313) 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, 48 + ... + 16144.

It is an arithmetic number, because the mean of its divisors is an integer number (6085044).

Almost surely, 2130321312 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 130321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146041056).

130321312 is an abundant number, since it is smaller than the sum of its proper divisors (161760800).

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

130321312 is a wasteful number, since it uses less digits than its factorization.

130321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16141 (or 16133 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 130321312 is about 11415.8360184439. The cubic root of 130321312 is about 506.9967178549.

Adding to 130321312 its reverse (213123031), we get a palindrome (343444343).

The spelling of 130321312 in words is "one hundred thirty million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 16097 32194 64388 128776 177067 257552 354134 370231 515104 708268 740462 1416536 1480924 2833072 2961848 4072541 5666144 5923696 8145082 11847392 16290164 32580328 65160656 130321312