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10012212111321 = 3273732091338499
BaseRepresentation
bin1001000110110010011001…
…0110001010011111011001
31022110011021021110210012200
42101230212112022133121
52303020002300030241
633143314033000413
72052233643520350
oct221544626123731
938404237423180
1010012212111321
1132101787a0002
1211585256b3109
135781bc227bb4
14268844da2997
151256921114b6
hex91b2658a7d9

10012212111321 has 48 divisors (see below), whose sum is σ = 16980103920000. Its totient is φ = 5564896452864.

The previous prime is 10012212111269. The next prime is 10012212111379. The reversal of 10012212111321 is 12311121221001.

It is a happy number.

10012212111321 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 2 + 111 + 321 = 666.

10012212111321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012212111321 - 210 = 10012212110297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012212111294 and 10012212111303.

It is not an unprimeable number, because it can be changed into a prime (10012212111221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6810930 + ... + 8149428.

It is an arithmetic number, because the mean of its divisors is an integer number (353752165000).

Almost surely, 210012212111321 is an apocalyptic number.

It is an amenable number.

10012212111321 is a deficient number, since it is larger than the sum of its proper divisors (6967891808679).

10012212111321 is a wasteful number, since it uses less digits than its factorization.

10012212111321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341758 (or 1341755 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10012212111321 its reverse (12311121221001), we get a palindrome (22323333332322).

The spelling of 10012212111321 in words is "ten trillion, twelve billion, two hundred twelve million, one hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 3209 9627 22463 28881 67389 118733 202167 356199 831131 1068597 1338499 2493393 4015497 7480179 9369493 12046491 28108479 49524463 84325437 148573389 346671241 445720167 1040013723 3120041169 4295243291 12885729873 30066703037 38657189619 90200109111 158924001767 270600327333 476772005301 1112468012369 1430316015903 3337404037107 10012212111321