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13022130312 = 23321126116061
BaseRepresentation
bin11000010000010110…
…11111000010001000
31020121112102202112200
430020023133002020
5203132131132222
65552101240200
7640462165332
oct141013370210
936545382480
1013022130312
115582720274
122635103060
1312c6b4c969
148b768a452
15513373eac
hex3082df088

13022130312 has 48 divisors (see below), whose sum is σ = 35273597580. Its totient is φ = 4340054400.

The previous prime is 13022130299. The next prime is 13022130343. The reversal of 13022130312 is 21303122031.

13022130312 is a `hidden beast` number, since 1 + 302 + 21 + 30 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13022004996 + 125316 = 114114^2 + 354^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802762 + ... + 818822.

Almost surely, 213022130312 is an apocalyptic number.

13022130312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13022130312 is an abundant number, since it is smaller than the sum of its proper divisors (22251467268).

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

13022130312 is a wasteful number, since it uses less digits than its factorization.

13022130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27334 (or 27327 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13022130312 its reverse (21303122031), we get a palindrome (34325252343).

The spelling of 13022130312 in words is "thirteen billion, twenty-two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 11261 16061 22522 32122 33783 45044 48183 64244 67566 90088 96366 101349 128488 135132 144549 192732 202698 270264 289098 385464 405396 578196 810792 1156392 180862921 361725842 542588763 723451684 1085177526 1446903368 1627766289 2170355052 3255532578 4340710104 6511065156 13022130312