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11344313220 = 22353720632477
BaseRepresentation
bin10101001000010110…
…00111101110000100
31002021121022211011220
422210023013232010
5141213121010340
65113404000340
7551060033322
oct124413075604
932247284156
1011344313220
1148a1629479
1222472300b0
1310ba36c296
147988dad12
15465e02ed0
hex2a42c7b84

11344313220 has 96 divisors (see below), whose sum is σ = 32651555328. Its totient is φ = 2940774912.

The previous prime is 11344313203. The next prime is 11344313237. The reversal of 11344313220 is 2231344311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11344313203) and next prime (11344313237).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4578622 + ... + 4581098.

It is an arithmetic number, because the mean of its divisors is an integer number (340120368).

Almost surely, 211344313220 is an apocalyptic number.

11344313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11344313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325777664).

11344313220 is an abundant number, since it is smaller than the sum of its proper divisors (21307242108).

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

11344313220 is a wasteful number, since it uses less digits than its factorization.

11344313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11344313220 its reverse (2231344311), we get a palindrome (13575657531).

The spelling of 11344313220 in words is "eleven billion, three hundred forty-four million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2063 2220 2477 4126 4954 6189 7431 8252 9908 10315 12378 12385 14862 20630 24756 24770 29724 30945 37155 41260 49540 61890 74310 76331 91649 123780 148620 152662 183298 228993 274947 305324 366596 381655 457986 458245 549894 763310 915972 916490 1099788 1144965 1374735 1526620 1832980 2289930 2749470 4579860 5110051 5498940 10220102 15330153 20440204 25550255 30660306 51100510 61320612 76650765 102201020 153301530 189071887 306603060 378143774 567215661 756287548 945359435 1134431322 1890718870 2268862644 2836078305 3781437740 5672156610 11344313220