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310022111320129 = 132175318439110419
BaseRepresentation
bin100011001111101101010010…
…1110100010101100001000001
31111122200211020222112021200001
41012133122211310111201001
5311113400240444221004
63015210105231400001
7122205233633223505
oct10637324564254101
91448624228467601
10310022111320129
118a86770364262a
122a930441983001
13103cac6248a500
14567b216402305
1525c95bea6e1a4
hex119f6a5d15841

310022111320129 has 48 divisors (see below), whose sum is σ = 362181292444800. Its totient is φ = 264241856406528.

The previous prime is 310022111320099. The next prime is 310022111320139. The reversal of 310022111320129 is 921023111220013.

It is not a de Polignac number, because 310022111320129 - 29 = 310022111319617 is a prime.

It is a super-2 number, since 2×3100221113201292 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310022111320097 and 310022111320106.

It is not an unprimeable number, because it can be changed into a prime (310022111320139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2807632882 + ... + 2807743300.

It is an arithmetic number, because the mean of its divisors is an integer number (7545443592600).

Almost surely, 2310022111320129 is an apocalyptic number.

It is an amenable number.

310022111320129 is a deficient number, since it is larger than the sum of its proper divisors (52159181124671).

310022111320129 is a wasteful number, since it uses less digits than its factorization.

310022111320129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128954 (or 128941 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 310022111320129 in words is "three hundred ten trillion, twenty-two billion, one hundred eleven million, three hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 13 17 53 169 221 689 901 2873 8957 11713 18439 110419 152269 239707 313463 977267 1435447 1877123 3116191 4075019 5852207 12704471 16613539 18660811 24402599 52975247 76078691 99487519 165158123 215976007 317233787 989022983 1293337747 2036015941 2807688091 16813390711 26468207233 34612270997 107908844873 344086694029 449959522961 1402814983349 1834450362841 5849473798493 18236594783537 23847854716933 310022111320129