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1012122102220 = 225793136733041
BaseRepresentation
bin11101011101001110010…
…11011010100111001100
310120202110112022000120221
432232213023122213030
5113040311224232340
62052543521121124
7133060220630635
oct16564713324714
93522415260527
101012122102220
113602695a4799
121441a57891a4
137459a8120a8
1436db636a88c
151b4daaa544a
hexeba72da9cc

1012122102220 has 96 divisors (see below), whose sum is σ = 2163156952320. Its totient is φ = 397724221440.

The previous prime is 1012122102217. The next prime is 1012122102241. The reversal of 1012122102220 is 222012212101.

It is a happy number.

It is a super-2 number, since 2×10121221022202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012122102194 and 1012122102203.

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 31 ways as a sum of consecutive naturals, for example, 332823900 + ... + 332826940.

It is an arithmetic number, because the mean of its divisors is an integer number (22532884920).

Almost surely, 21012122102220 is an apocalyptic number.

1012122102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012122102220 is an abundant number, since it is smaller than the sum of its proper divisors (1151034850100).

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

1012122102220 is a wasteful number, since it uses less digits than its factorization.

1012122102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012122102220 its reverse (222012212101), we get a palindrome (1234134314321).

The spelling of 1012122102220 in words is "one trillion, twelve billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 313 316 395 626 673 790 1252 1346 1565 1580 2692 3041 3130 3365 6082 6260 6730 12164 13460 15205 24727 30410 49454 53167 60820 98908 106334 123635 210649 212668 240239 247270 265835 421298 480478 494540 531670 842596 951833 960956 1053245 1063340 1201195 1903666 2046593 2106490 2402390 3807332 4093186 4212980 4759165 4804780 8186372 9518330 10232965 16641271 19036660 20465930 33282542 40931860 66565084 75194807 83206355 150389614 161680847 166412710 300779228 323361694 332825420 375974035 640583609 646723388 751948070 808404235 1281167218 1503896140 1616808470 2562334436 3202918045 3233616940 6405836090 12811672180 50606105111 101212210222 202424420444 253030525555 506061051110 1012122102220