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11302122000 = 2435313144899
BaseRepresentation
bin10101000011010100…
…01011001000010000
31002011122221021201010
422201222023020100
5141121320401000
65105255410520
7550035311001
oct124152131020
932148837633
1011302122000
11487a8315a4
122235083a40
1310b16b9270
147930771a8
1546236bd50
hex2a1a8b210

11302122000 has 160 divisors (see below), whose sum is σ = 39241238400. Its totient is φ = 2782041600.

The previous prime is 11302121981. The next prime is 11302122023. The reversal of 11302122000 is 22120311.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5551 + ... + 150449.

It is an arithmetic number, because the mean of its divisors is an integer number (245257740).

Almost surely, 211302122000 is an apocalyptic number.

11302122000 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 11302122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19620619200).

11302122000 is an abundant number, since it is smaller than the sum of its proper divisors (27939116400).

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

11302122000 is a wasteful number, since it uses less digits than its factorization.

11302122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144938 (or 144922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11302122000 its reverse (22120311), we get a palindrome (11324242311).

The spelling of 11302122000 in words is "eleven billion, three hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 144899 289798 434697 579596 724495 869394 1159192 1448990 1738788 1883687 2173485 2318384 2897980 3477576 3622475 3767374 4346970 5651061 5795960 6955152 7244950 7534748 8693940 9418435 10867425 11302122 11591920 14489900 15069496 17387880 18112375 18836870 21734850 22604244 28255305 28979800 30138992 34775760 36224750 37673740 43469700 45208488 47092175 54337125 56510610 57959600 72449500 75347480 86939400 90416976 94184350 108674250 113021220 141276525 144899000 150694960 173878800 188368700 217348500 226042440 235460875 282553050 289798000 376737400 434697000 452084880 470921750 565106100 706382625 753474800 869394000 941843500 1130212200 1412765250 1883687000 2260424400 2825530500 3767374000 5651061000 11302122000