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130022311221321 = 31729731371187833
BaseRepresentation
bin11101100100000100101101…
…101011000101100001001001
3122001101000022102111202122020
4131210010231223011201021
5114020241143133040241
61140311231500515053
736246542040024111
oct3544045553054111
9561330272452566
10130022311221321
113847a175012012
12126bb240b4ba89
135772088a336ac
1424171833d4041
1510072a31a0b66
hex76412dac5849

130022311221321 has 64 divisors (see below), whose sum is σ = 192508068510720. Its totient is φ = 77683848560640.

The previous prime is 130022311221317. The next prime is 130022311221323. The reversal of 130022311221321 is 123122113220031.

It is not a de Polignac number, because 130022311221321 - 22 = 130022311221317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130022311221291 and 130022311221300.

It is not an unprimeable number, because it can be changed into a prime (130022311221323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1480291621 + ... + 1480379453.

It is an arithmetic number, because the mean of its divisors is an integer number (3007938570480).

Almost surely, 2130022311221321 is an apocalyptic number.

It is an amenable number.

130022311221321 is a deficient number, since it is larger than the sum of its proper divisors (62485757289399).

130022311221321 is a wasteful number, since it uses less digits than its factorization.

130022311221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101666.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130022311221321 its reverse (123122113220031), we get a palindrome (253144424441352).

The spelling of 130022311221321 in words is "one hundred thirty trillion, twenty-two billion, three hundred eleven million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 17 29 51 73 87 219 493 1241 1479 2117 3723 6351 13711 35989 41133 87833 107967 233087 263499 397619 699261 1000903 1192857 1493161 2547157 3002709 4479483 6411809 6759523 7641471 17015351 19235427 20278569 29026187 43301669 51046053 87078561 109000753 129905007 185942461 327002259 493445179 557827383 1204278263 1480335537 3161021837 3612834789 9483065511 20472730471 34924069627 61418191413 87912313199 104772208881 263736939597 593709183659 1494509324383 1781127550977 2549457082771 4483527973149 7648371248313 43340770407107 130022311221321