Search a number
-
+
1221020210331 = 331134335991543
BaseRepresentation
bin10001110001001010011…
…110011101010010011011
311022201122222221102201000
4101301022132131102123
5130001122133212311
62332532352400043
7154134006354045
oct21611236352233
94281588842630
101221020210331
11430917093249
12178785246023
138b1ac45789c
14431520dca95
1521b652cb056
hex11c4a79d49b

1221020210331 has 64 divisors (see below), whose sum is σ = 1833382656000. Its totient is φ = 803081889792.

The previous prime is 1221020210327. The next prime is 1221020210341. The reversal of 1221020210331 is 1330120201221.

1221020210331 is a `hidden beast` number, since 1 + 22 + 102 + 0 + 210 + 331 = 666.

It is not a de Polignac number, because 1221020210331 - 22 = 1221020210327 is a prime.

It is a super-2 number, since 2×12210202103312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221020210341) 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, 791327946 + ... + 791329488.

It is an arithmetic number, because the mean of its divisors is an integer number (28646604000).

Almost surely, 21221020210331 is an apocalyptic number.

1221020210331 is a deficient number, since it is larger than the sum of its proper divisors (612362445669).

1221020210331 is a wasteful number, since it uses less digits than its factorization.

1221020210331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221020210331 its reverse (1330120201221), we get a palindrome (2551140411552).

The spelling of 1221020210331 in words is "one trillion, two hundred twenty-one billion, twenty million, two hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 27 113 339 433 599 1017 1299 1543 1797 3051 3897 4629 5391 11691 13887 16173 41661 48929 67687 146787 174359 203061 259367 440361 523077 609183 668119 778101 924257 1321083 1569231 1827549 2004357 2334303 2772771 4707693 6013071 7002909 8318313 18039213 24954939 29308471 75497447 87925413 104441041 226492341 263776239 313323123 400203281 679477023 791328717 939969369 1200609843 2038431069 2819908107 3601829529 10805488587 45222970753 135668912259 407006736777 1221020210331