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1100224775056 = 241123127692
BaseRepresentation
bin10000000000101010100…
…000011100001110010000
310220011212120000112010211
4100000222200130032100
5121011230020300211
62201234123133504
7142326411166261
oct20005240341620
93804776015124
101100224775056
1139466a225900
12159293074294
137c99b528274
143b373298968
151d9455a0e21
hex1002a81c390

1100224775056 has 135 divisors (see below), whose sum is σ = 2424266620209. Its totient is φ = 483340492800.

The previous prime is 1100224775011. The next prime is 1100224775077. The reversal of 1100224775056 is 6505774220011.

The square root of 1100224775056 is 1048916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 430446215056 + 669778560000 = 656084^2 + 818400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1430721040 + ... + 1430721808.

Almost surely, 21100224775056 is an apocalyptic number.

1100224775056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1100224775056 is the 1048916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100224775056

1100224775056 is an abundant number, since it is smaller than the sum of its proper divisors (1324041845153).

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

1100224775056 is an frugal number, since it uses more digits than its factorization.

1100224775056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

Adding to 1100224775056 its reverse (6505774220011), we get a palindrome (7605998995067).

The spelling of 1100224775056 in words is "one trillion, one hundred billion, two hundred twenty-four million, seven hundred seventy-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 769 961 968 1364 1538 1922 1936 2728 3076 3751 3844 5456 6152 7502 7688 8459 10571 12304 15004 15376 16918 21142 23839 30008 33836 42284 47678 60016 67672 84568 93049 95356 116281 135344 169136 186098 190712 232562 262229 372196 381424 465124 524458 591361 739009 744392 930248 1048916 1182722 1478018 1488784 1860496 2097832 2365444 2884519 2956036 4195664 4730888 5769038 5912072 6504971 8129099 9461776 11538076 11824144 13009942 16258198 18332191 23076152 26019884 32516396 36664382 46152304 52039768 65032792 71554681 73328764 89420089 104079536 130065584 143109362 146657528 178840178 201654101 286218724 293315056 357680356 403308202 568297921 572437448 715360712 806616404 1136595842 1144874896 1430721424 1613232808 2218195111 2273191684 3226465616 4436390222 4546383368 6251277131 8872780444 9092766736 12502554262 17745560888 25005108524 35491121776 50010217048 68764048441 100020434096 137528096882 275056193764 550112387528 1100224775056