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10222013323332 = 22321923649759301
BaseRepresentation
bin1001010010111111111101…
…1110010001100001000100
31100012012210200110121222100
42110233333132101201010
52314434140402321312
633423532245032100
72103342006430446
oct224577736214104
940165720417870
1010222013323332
11329114a040918
1211911176b5630
13591c15cb2ab5
14274a68a5c496
1512ad70c785dc
hex94bff791844

10222013323332 has 72 divisors (see below), whose sum is σ = 28381486311360. Its totient is φ = 3087656193600.

The previous prime is 10222013323267. The next prime is 10222013323349. The reversal of 10222013323332 is 23332331022201.

10222013323332 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 0 + 1 + 3 + 323 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10222013323296 and 10222013323305.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 324863919 + ... + 324895382.

It is an arithmetic number, because the mean of its divisors is an integer number (394187309880).

Almost surely, 210222013323332 is an apocalyptic number.

10222013323332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222013323332 is an abundant number, since it is smaller than the sum of its proper divisors (18159472988028).

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

10222013323332 is a wasteful number, since it uses less digits than its factorization.

10222013323332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649759353 (or 649759348 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10222013323332 its reverse (23332331022201), we get a palindrome (33554344345533).

The spelling of 10222013323332 in words is "ten trillion, two hundred twenty-two billion, thirteen million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 7866 15732 649759301 1299518602 1949277903 2599037204 3898555806 5847833709 7797111612 11695667418 12345426719 14944463923 23391334836 24690853438 29888927846 37036280157 44833391769 49381706876 59777855692 74072560314 89666783538 111108840471 134500175307 148145120628 179333567076 222217680942 269000350614 283944814537 444435361884 538000701228 567889629074 851834443611 1135779258148 1703668887222 2555503330833 3407337774444 5111006661666 10222013323332