Search a number
-
+
2021111010112 = 26232433137869
BaseRepresentation
bin11101011010010011100…
…110101001001101000000
321011012211200221021120111
4131122103212221031000
5231103213404310422
64144252515121104
7266010005062345
oct35322346511500
97135750837514
102021111010112
1170a16a525187
12287855ba3194
1311878917622c
146db7253c7cc
1537891556a77
hex1d6939a9340

2021111010112 has 84 divisors (see below), whose sum is σ = 4202312618980. Its totient is φ = 964378939392.

The previous prime is 2021111010109. The next prime is 2021111010137. The reversal of 2021111010112 is 2110101111202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 133938432576 + 1887172577536 = 365976^2 + 1373744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2021111010092 and 2021111010101.

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 11 ways as a sum of consecutive naturals, for example, 14590714 + ... + 14728582.

Almost surely, 22021111010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021111010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101156309490).

2021111010112 is an abundant number, since it is smaller than the sum of its proper divisors (2181201608868).

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

2021111010112 is a wasteful number, since it uses less digits than its factorization.

2021111010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138360 (or 138327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2021111010112 its reverse (2110101111202), we get a palindrome (4131212121314).

The spelling of 2021111010112 in words is "two trillion, twenty-one billion, one hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 433 529 736 866 1058 1472 1732 2116 3464 4232 6928 8464 9959 13856 16928 19918 27712 33856 39836 79672 137869 159344 229057 275738 318688 458114 551476 637376 916228 1102952 1832456 2205904 3170987 3664912 4411808 6341974 7329824 8823616 12683948 14659648 25367896 50735792 59697277 72932701 101471584 119394554 145865402 202943168 238789108 291730804 477578216 583461608 955156432 1166923216 1373037371 1910312864 2333846432 2746074742 3820625728 4667692864 5492149484 10984298968 21968597936 31579859533 43937195872 63159719066 87874391744 126319438132 252638876264 505277752528 1010555505056 2021111010112