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13222112130 = 23252273112081
BaseRepresentation
bin11000101000001100…
…10110101110000010
31021010110201220000200
430110012112232002
5204034330042010
610024003430030
7645441045603
oct142406265602
937113656020
1013222112130
1156755a05a7
122690085316
1313293cb8b6
148d6065daa
15525bc7cc0
hex314196b82

13222112130 has 96 divisors (see below), whose sum is σ = 34656605568. Its totient is φ = 3497395200.

The previous prime is 13222112093. The next prime is 13222112131. The reversal of 13222112130 is 3121122231.

13222112130 is a `hidden beast` number, since 1 + 322 + 211 + 2 + 130 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13222112131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6352690 + ... + 6354770.

It is an arithmetic number, because the mean of its divisors is an integer number (361006308).

Almost surely, 213222112130 is an apocalyptic number.

13222112130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17328302784).

13222112130 is an abundant number, since it is smaller than the sum of its proper divisors (21434493438).

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

13222112130 is a wasteful number, since it uses less digits than its factorization.

13222112130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13222112130 its reverse (3121122231), we get a palindrome (16343234361).

The spelling of 13222112130 in words is "thirteen billion, two hundred twenty-two million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 227 311 454 622 681 933 1135 1362 1555 1866 2043 2081 2270 2799 3110 3405 4086 4162 4665 5598 6243 6810 9330 10215 10405 12486 13995 18729 20430 20810 27990 31215 37458 62430 70597 93645 141194 187290 211791 352985 423582 472387 635373 647191 705970 944774 1058955 1270746 1294382 1417161 1941573 2117910 2361935 2834322 3176865 3235955 3883146 4251483 4723870 5824719 6353730 6471910 7085805 8502966 9707865 11649438 14171610 19415730 21257415 29123595 42514830 58247190 146912357 293824714 440737071 734561785 881474142 1322211213 1469123570 2203685355 2644422426 4407370710 6611056065 13222112130