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2112022011020 = 2251012399414649
BaseRepresentation
bin11110101110111110010…
…100100101110010001100
321110220111110000122000012
4132232332110211302030
5234100410113323040
64254125521252352
7305405605613255
oct36567624456214
97426443018005
102112022011020
11744781401789
122a13a7a940b8
131242169441ac
147431841bb2c
1539e12884865
hex1ebbe525c8c

2112022011020 has 96 divisors (see below), whose sum is σ = 4503649248000. Its totient is φ = 831880448000.

The previous prime is 2112022011017. The next prime is 2112022011031. The reversal of 2112022011020 is 201102202112.

It is a junction number, because it is equal to n+sod(n) for n = 2112022010986 and 2112022011004.

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, 454293656 + ... + 454298304.

It is an arithmetic number, because the mean of its divisors is an integer number (46913013000).

Almost surely, 22112022011020 is an apocalyptic number.

2112022011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112022011020 is an abundant number, since it is smaller than the sum of its proper divisors (2391627236980).

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

2112022011020 is a wasteful number, since it uses less digits than its factorization.

2112022011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112022011020 its reverse (201102202112), we get a palindrome (2313124213132).

It can be divided in two parts, 211202 and 2011020, that added together give a palindrome (2222222).

The spelling of 2112022011020 in words is "two trillion, one hundred twelve billion, twenty-two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 239 404 478 505 941 956 1010 1195 1882 2020 2390 3764 4649 4705 4780 9298 9410 18596 18820 23245 24139 46490 48278 92980 95041 96556 120695 190082 224899 241390 380164 449798 469549 475205 482780 899596 939098 950410 1111111 1124495 1878196 1900820 2222222 2248990 2347745 4374709 4444444 4497980 4695490 5555555 8749418 9390980 11111110 17498836 21873545 22222220 22714799 43747090 45429598 87494180 90859196 112222211 113573995 224444422 227147990 441845609 448888844 454295980 561111055 883691218 1045555451 1122222110 1767382436 2091110902 2209228045 2244444220 4182221804 4418456090 5227777255 8836912180 10455554510 20911109020 105601100551 211202201102 422404402204 528005502755 1056011005510 2112022011020