Search a number
-
+
11331303444 = 22326744910463
BaseRepresentation
bin10101000110110010…
…11111100000010100
31002020200211212010100
422203121133200110
5141201303202234
65112221054100
7550541330046
oct124331374024
932220755110
1011331303444
114895252a9a
1222429b7330
1310b77657a6
14796cb1a96
15464bd3399
hex2a365f814

11331303444 has 72 divisors (see below), whose sum is σ = 29138054400. Its totient is φ = 3712084992.

The previous prime is 11331303439. The next prime is 11331303449. The reversal of 11331303444 is 44430313311.

11331303444 is a `hidden beast` number, since 1 + 1 + 3 + 313 + 0 + 344 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11331303439) and next prime (11331303449).

It is a super-2 number, since 2×113313034442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331303449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077757 + ... + 1088219.

It is an arithmetic number, because the mean of its divisors is an integer number (404695200).

Almost surely, 211331303444 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 11331303444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569027200).

11331303444 is an abundant number, since it is smaller than the sum of its proper divisors (17806750956).

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

11331303444 is a wasteful number, since it uses less digits than its factorization.

11331303444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11331303444 its reverse (44430313311), we get a palindrome (55761616755).

The spelling of 11331303444 in words is "eleven billion, three hundred thirty-one million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 449 603 804 898 1206 1347 1796 2412 2694 4041 5388 8082 10463 16164 20926 30083 31389 41852 60166 62778 90249 94167 120332 125556 180498 188334 270747 360996 376668 541494 701021 1082988 1402042 2103063 2804084 4206126 4697887 6309189 8412252 9395774 12618378 14093661 18791548 25236756 28187322 42280983 56374644 84561966 169123932 314758429 629516858 944275287 1259033716 1888550574 2832825861 3777101148 5665651722 11331303444