Search a number
-
+
10221202022101 = 7435910715734261
BaseRepresentation
bin1001010010111100111100…
…0111011001111011010101
31100012010201010212020220121
42110233033013121323111
52314431010204201401
633423315544031541
72103312625454650
oct224571707317325
940163633766817
1010221202022101
113290873091234
121190b2ba625b1
13591b16ba3cb5
142749ccdd0897
1512ad2491cca1
hex94bcf1d9ed5

10221202022101 has 64 divisors (see below), whose sum is σ = 12347739740160. Its totient is φ = 8280305429760.

The previous prime is 10221202022099. The next prime is 10221202022113. The reversal of 10221202022101 is 10122020212201.

It is a happy number.

It is not a de Polignac number, because 10221202022101 - 21 = 10221202022099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221202062101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298316311 + ... + 298350571.

It is an arithmetic number, because the mean of its divisors is an integer number (192933433440).

Almost surely, 210221202022101 is an apocalyptic number.

It is an amenable number.

10221202022101 is a deficient number, since it is larger than the sum of its proper divisors (2126537718059).

10221202022101 is a wasteful number, since it uses less digits than its factorization.

10221202022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34634.

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

Adding to 10221202022101 its reverse (10122020212201), we get a palindrome (20343222234302).

The spelling of 10221202022101 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, twenty-two thousand, one hundred one".

Divisors: 1 7 43 59 107 157 301 413 749 1099 2537 4601 6313 6751 9263 16799 17759 32207 34261 44191 47257 64841 117593 239827 271459 398309 722357 991141 1473223 1900213 2021399 2788163 3665927 5056499 5378977 6937987 10312561 14149793 25661489 37652839 42619063 86920157 157634861 216289693 231296011 298333441 317359643 575550539 608441099 1103444027 1514027851 1619072077 2221517501 4028853773 9300456799 13646464649 24748673177 33957481801 65103197593 95525252543 173240712239 237702372607 1460171717443 10221202022101