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10000012022120 = 2352437942110889
BaseRepresentation
bin1001000110000100111100…
…1010100001000101101000
31022101222210000212001002002
42101201033022201011220
52302320011034201440
633133535254430132
72051322422465231
oct221411712410550
938358700761062
1010000012022120
113205a880a545a
12115609b962348
13576cc67a75c3
1426800897c088
151251cb01a115
hex9184f2a1168

10000012022120 has 64 divisors (see below), whose sum is σ = 22513716363600. Its totient is φ = 3997571880960.

The previous prime is 10000012022111. The next prime is 10000012022137. The reversal of 10000012022120 is 2122021000001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3108641501956 + 6891370520164 = 1763134^2 + 2625142^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918353636 + ... + 918364524.

Almost surely, 210000012022120 is an apocalyptic number.

10000012022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000012022120 is an abundant number, since it is smaller than the sum of its proper divisors (12513704341480).

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

10000012022120 is a wasteful number, since it uses less digits than its factorization.

10000012022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22758 (or 22754 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10000012022120 its reverse (2122021000001), we get a palindrome (12122033022121).

The spelling of 10000012022120 in words is "ten trillion, twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2437 4874 9421 9748 10889 12185 18842 19496 21778 24370 37684 43556 47105 48740 54445 75368 87112 94210 97480 108890 188420 217780 376840 435560 22958977 26536493 45917954 53072986 91835908 102585269 106145972 114794885 132682465 183671816 205170538 212291944 229589770 265364930 410341076 459179540 512926345 530729860 820682152 918359080 1025852690 1061459720 2051705380 4103410760 250000300553 500000601106 1000001202212 1250001502765 2000002404424 2500003005530 5000006011060 10000012022120