Search a number
-
+
10221030002112 = 26385961972679
BaseRepresentation
bin1001010010111100010011…
…0111001100110111000000
31100012010021011011201211220
42110233010313030313000
52314430132140031422
633423250521035040
72103305436353646
oct224570467146700
940163234151756
1010221030002112
113290794a7a056
121190aa2325a80
13591aba365417
142749b4213196
1512ad1478de5c
hex94bc4dccdc0

10221030002112 has 56 divisors (see below), whose sum is σ = 27074624438400. Its totient is φ = 3403043694336.

The previous prime is 10221030002089. The next prime is 10221030002119. The reversal of 10221030002112 is 21120003012201.

It is a junction number, because it is equal to n+sod(n) for n = 10221030002091 and 10221030002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221030002119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30821412 + ... + 31151267.

It is an arithmetic number, because the mean of its divisors is an integer number (483475436400).

Almost surely, 210221030002112 is an apocalyptic number.

10221030002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221030002112 is an abundant number, since it is smaller than the sum of its proper divisors (16853594436288).

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

10221030002112 is an equidigital number, since it uses as much as digits as its factorization.

10221030002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61973553 (or 61973543 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10221030002112 its reverse (21120003012201), we get a palindrome (31341033014313).

The spelling of 10221030002112 in words is "ten trillion, two hundred twenty-one billion, thirty million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 859 1718 2577 3436 5154 6872 10308 13744 20616 27488 41232 54976 82464 164928 61972679 123945358 185918037 247890716 371836074 495781432 743672148 991562864 1487344296 1983125728 2974688592 3966251456 5949377184 11898754368 53234531261 106469062522 159703593783 212938125044 319407187566 425876250088 638814375132 851752500176 1277628750264 1703505000352 2555257500528 3407010000704 5110515001056 10221030002112