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11001002320 = 24571115111827
BaseRepresentation
bin10100011111011010…
…11111100101010000
31001101200022211011101
422033231133211100
5140012224033240
65015341354144
7536420656030
oct121755374520
931350284141
1011001002320
114735862960
122170268954
1310641b8939
147650918c0
15445bdb39a
hex28fb5f950

11001002320 has 160 divisors (see below), whose sum is σ = 32102516736. Its totient is φ = 3405888000.

The previous prime is 11001002291. The next prime is 11001002329. The reversal of 11001002320 is 2320010011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11001002297 and 11001002306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001002329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924247 + ... + 936073.

Almost surely, 211001002320 is an apocalyptic number.

11001002320 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 11001002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051258368).

11001002320 is an abundant number, since it is smaller than the sum of its proper divisors (21101514416).

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

11001002320 is a wasteful number, since it uses less digits than its factorization.

11001002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009 (or 12003 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11001002320 its reverse (2320010011), we get a palindrome (13321012331).

The spelling of 11001002320 in words is "eleven billion, one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 151 154 176 220 280 302 308 385 440 560 604 616 755 770 880 1057 1208 1232 1510 1540 1661 2114 2416 3020 3080 3322 4228 5285 6040 6160 6644 8305 8456 10570 11627 11827 12080 13288 16610 16912 21140 23254 23654 26576 33220 42280 46508 47308 58135 59135 66440 82789 84560 93016 94616 116270 118270 130097 132880 165578 186032 189232 232540 236540 260194 331156 413945 465080 473080 520388 650485 662312 827890 910679 930160 946160 1040776 1300970 1324624 1655780 1785877 1821358 2081552 2601940 3311560 3571754 3642716 4553395 5203880 6623120 7143508 7285432 8929385 9106790 10407760 12501139 14287016 14570864 17858770 18213580 19644647 25002278 28574032 35717540 36427160 39289294 50004556 62505695 71435080 72854320 78578588 98223235 100009112 125011390 137512529 142870160 157157176 196446470 200018224 250022780 275025058 314314352 392892940 500045560 550050116 687562645 785785880 1000091120 1100100232 1375125290 1571571760 2200200464 2750250580 5500501160 11001002320