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10200222020120 = 23511127727181499
BaseRepresentation
bin1001010001101110110010…
…0111000011001000011000
31100010010120000021201200012
42110123230213003020120
52314110023314120440
633405530045501052
72101641003420266
oct224335447031030
940103500251605
1010200222020120
113282987458220
121188a55871788
1358cb52471742
1427399c8c5436
1512a4e7b20e65
hex946ec9c3218

10200222020120 has 64 divisors (see below), whose sum is σ = 25037242560000. Its totient is φ = 3709122167680.

The previous prime is 10200222020083. The next prime is 10200222020141. The reversal of 10200222020120 is 2102022200201.

It is a junction number, because it is equal to n+sod(n) for n = 10200222020095 and 10200222020104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56109131 + ... + 56290629.

It is an arithmetic number, because the mean of its divisors is an integer number (391206915000).

Almost surely, 210200222020120 is an apocalyptic number.

10200222020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200222020120 is an abundant number, since it is smaller than the sum of its proper divisors (14837020539880).

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

10200222020120 is a wasteful number, since it uses less digits than its factorization.

10200222020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309248 (or 309244 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10200222020120 its reverse (2102022200201), we get a palindrome (12302244220321).

It can be divided in two parts, 102002 and 22020120, that added together give a palindrome (22122122).

The spelling of 10200222020120 in words is "ten trillion, two hundred billion, two hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 127727 181499 255454 362998 510908 638635 725996 907495 1021816 1277270 1404997 1451992 1814990 1996489 2554540 2809994 3629980 3992978 5109080 5619988 7024985 7259960 7985956 9982445 11239976 14049970 15971912 19964890 28099940 39929780 56199880 79859560 23182322773 46364645546 92729291092 115911613865 185458582184 231823227730 255005550503 463646455460 510011101006 927292910920 1020022202012 1275027752515 2040044404024 2550055505030 5100111010060 10200222020120