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11321412344 = 2311171072661
BaseRepresentation
bin10101000101100111…
…10000101011111000
31002020000020100002022
422202303300223320
5141141240143334
65111225054012
7550361263034
oct124263605370
932200210068
1011321412344
11488a707730
12223b627308
1310b56b1678
147958591c4
15463dcc82e
hex2a2cf0af8

11321412344 has 96 divisors (see below), whose sum is σ = 24788378160. Its totient is φ = 4790860800.

The previous prime is 11321412331. The next prime is 11321412353. The reversal of 11321412344 is 44321412311.

11321412344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17127374 + ... + 17128034.

Almost surely, 211321412344 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 11321412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394189080).

11321412344 is an abundant number, since it is smaller than the sum of its proper divisors (13466965816).

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

11321412344 is a wasteful number, since it uses less digits than its factorization.

11321412344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 798 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 11321412344 its reverse (44321412311), we get a palindrome (55642824655).

The spelling of 11321412344 in words is "eleven billion, three hundred twenty-one million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 107 136 187 214 374 428 661 748 856 1177 1322 1496 1819 2354 2644 3638 4708 5288 7271 7276 9416 11237 11449 14542 14552 20009 22474 22898 29084 40018 44948 45796 58168 70727 80036 89896 91592 123607 125939 141454 160072 194633 247214 251878 282908 389266 494428 503756 565816 777997 778532 988856 1007512 1202359 1555994 1557064 2140963 2404718 3111988 4281926 4809436 6223976 7567789 8563852 9618872 13225949 15135578 17127704 26451898 30271156 52903796 60542312 83245679 105807592 128652413 166491358 257304826 332982716 514609652 665965432 1029219304 1415176543 2830353086 5660706172 11321412344