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10310122321121 = 7291014631086089
BaseRepresentation
bin1001011000001000001100…
…1011011011010011100001
31100111122020011002110201202
42112002003023123103201
52322410112303233441
633532223234410545
72112611304521150
oct226020313332341
940448204073652
1010310122321121
1133155532a1a67
1211a6207130a55
1359a318101b4c
14279026755597
1512d2cb0c319b
hex960832db4e1

10310122321121 has 32 divisors (see below), whose sum is σ = 12336592204800. Its totient is φ = 8429780620800.

The previous prime is 10310122321111. The next prime is 10310122321139. The reversal of 10310122321121 is 12112322101301.

It is not a de Polignac number, because 10310122321121 - 222 = 10310118126817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10310122321093 and 10310122321102.

It is not an unprimeable number, because it can be changed into a prime (10310122321111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8949845 + ... + 10035933.

It is an arithmetic number, because the mean of its divisors is an integer number (385518506400).

Almost surely, 210310122321121 is an apocalyptic number.

It is an amenable number.

10310122321121 is a deficient number, since it is larger than the sum of its proper divisors (2026469883679).

10310122321121 is a wasteful number, since it uses less digits than its factorization.

10310122321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086689.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10310122321121 its reverse (12112322101301), we get a palindrome (22422444422422).

The spelling of 10310122321121 in words is "ten trillion, three hundred ten billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 7 29 101 203 463 707 2929 3241 13427 20503 46763 93989 327341 1086089 1356127 7602623 9492889 31496581 109694989 220476067 502859207 767864923 3181154681 3520014449 14582917003 22268082767 50788779907 102080419021 355521459349 1472874617303 10310122321121