Search a number
-
+
21020122102012 = 2211343101909091
BaseRepresentation
bin1001100011110001000001…
…11010010011100011111100
32202102111121110011121212021
410301320200322103203330
510223343202224231022
6112412302155045524
74266440135562235
oct461704072234374
982374543147767
1021020122102012
116774646a2a000
122435a104408a4
13b9625c338ac7
14529544c9208c
15266bace367c7
hex131e20e938fc

21020122102012 has 96 divisors (see below), whose sum is σ = 41811890174208. Its totient is φ = 9239990760000.

The previous prime is 21020122101973. The next prime is 21020122102013.

It is a happy number.

21020122102012 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020122102013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22667587 + ... + 23576677.

It is an arithmetic number, because the mean of its divisors is an integer number (435540522648).

Almost surely, 221020122102012 is an apocalyptic number.

21020122102012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21020122102012 is a deficient number, since it is larger than the sum of its proper divisors (20791768072196).

21020122102012 is a wasteful number, since it uses less digits than its factorization.

21020122102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909272 (or 909248 counting only the distinct ones).

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

It can be divided in two parts, 2102012 and 2102012, that added together give a palindrome (4204024).

The spelling of 21020122102012 in words is "twenty-one trillion, twenty billion, one hundred twenty-two million, one hundred two thousand, twelve".

Divisors: 1 2 4 11 22 43 44 86 101 121 172 202 242 404 473 484 946 1111 1331 1892 2222 2662 4343 4444 5203 5324 8686 10406 12221 17372 20812 24442 47773 48884 57233 95546 114466 134431 191092 228932 268862 525503 537724 909091 1051006 1818182 2102012 3636364 5780533 10000001 11561066 20000002 23122132 39090913 40000004 78181826 91818191 110000011 156363652 183636382 220000022 367272764 430000043 440000044 860000086 1010000101 1210000121 1720000172 2020000202 2420000242 3948182213 4040000404 4730000473 4840000484 7896364426 9460000946 11110001111 15792728852 18920001892 22220002222 43430004343 44440004444 52030005203 86860008686 104060010406 122210012221 173720017372 208120020812 244420024442 477730047773 488840048884 955460095546 1910920191092 5255030525503 10510061051006 21020122102012