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10221311312322 = 2311973175036533
BaseRepresentation
bin1001010010111101010110…
…1000010100000111000010
31100012010222202111202220120
42110233111220110013002
52314431221143443242
633423334450321110
72103315423432225
oct224572550240702
940163882452816
1010221311312322
113290919848630
121190b60589196
13591b3371b276
142749dd71d5bc
1512ad2e30a1ec
hex94bd5a141c2

10221311312322 has 64 divisors (see below), whose sum is σ = 22602030562944. Its totient is φ = 3055764695040.

The previous prime is 10221311312321. The next prime is 10221311312347. The reversal of 10221311312322 is 22321311312201.

It is a junction number, because it is equal to n+sod(n) for n = 10221311312292 and 10221311312301.

It is not an unprimeable number, because it can be changed into a prime (10221311312321) 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, 488833 + ... + 4547700.

It is an arithmetic number, because the mean of its divisors is an integer number (353156727546).

Almost surely, 210221311312322 is an apocalyptic number.

10221311312322 is an abundant number, since it is smaller than the sum of its proper divisors (12380719250622).

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

10221311312322 is a wasteful number, since it uses less digits than its factorization.

10221311312322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036963.

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

Adding to 10221311312322 its reverse (22321311312201), we get a palindrome (32542622624523).

The spelling of 10221311312322 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 317 582 634 951 1067 1902 2134 3201 3487 6402 6974 10461 20922 30749 61498 92247 184494 338239 676478 1014717 2029434 5036533 10073066 15109599 30219198 55401863 110803726 166205589 332411178 488543701 977087402 1465631103 1596580961 2931262206 3193161922 4789742883 5373980711 9579485766 10747961422 16121942133 17562390571 32243884266 35124781142 52687171713 105374343426 154868353217 309736706434 464605059651 929210119302 1703551885387 3407103770774 5110655656161 10221311312322