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11055001056 = 25311101103651
BaseRepresentation
bin10100100101110110…
…11110110111100000
31001112102221020111120
422102323132313200
5140120040013211
65024551012240
7540644646531
oct122273366740
931472836446
1011055001056
114763294a10
12218636a080
131072444158
1476c30a688
1544a805d06
hex292edede0

11055001056 has 96 divisors (see below), whose sum is σ = 31971252096. Its totient is φ = 3316800000.

The previous prime is 11055001049. The next prime is 11055001063. The reversal of 11055001056 is 65010055011.

It is an interprime number because it is at equal distance from previous prime (11055001049) and next prime (11055001063).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110550010562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54831 + ... + 158481.

It is an arithmetic number, because the mean of its divisors is an integer number (333033876).

Almost surely, 211055001056 is an apocalyptic number.

11055001056 is a gapful number since it is divisible by the number (16) 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 11055001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985626048).

11055001056 is an abundant number, since it is smaller than the sum of its proper divisors (20916251040).

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

11055001056 is a wasteful number, since it uses less digits than its factorization.

11055001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103776 (or 103768 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 11055001056 its reverse (65010055011), we get a palindrome (76065056067).

The spelling of 11055001056 in words is "eleven billion, fifty-five million, one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9696 13332 17776 26664 35552 53328 103651 106656 207302 310953 414604 621906 829208 1140161 1243812 1658416 2280322 2487624 3316832 3420483 4560644 4975248 6840966 9121288 9950496 10468751 13681932 18242576 20937502 27363864 31406253 36485152 41875004 54727728 62812506 83750008 109455456 115156261 125625012 167500016 230312522 251250024 335000032 345468783 460625044 502500048 690937566 921250088 1005000096 1381875132 1842500176 2763750264 3685000352 5527500528 11055001056