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1100330554224 = 2431121271491739
BaseRepresentation
bin10000000000110000110…
…011111101001101110000
310220012010221001122212210
4100000300303331031300
5121011434110213344
62201252422252120
7142332134251326
oct20006063751560
93805127048783
101100330554224
11394713a04300
12159302587040
137c9b74133a5
143b383351d16
151d94e9e7db9
hex10030cfd370

1100330554224 has 120 divisors (see below), whose sum is σ = 3149027338240. Its totient is φ = 330807818880.

The previous prime is 1100330554201. The next prime is 1100330554241. The reversal of 1100330554224 is 4224550330011.

It is a junction number, because it is equal to n+sod(n) for n = 1100330554191 and 1100330554200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8254 + ... + 1483485.

Almost surely, 21100330554224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100330554224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574513669120).

1100330554224 is an abundant number, since it is smaller than the sum of its proper divisors (2048696784016).

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

1100330554224 is a wasteful number, since it uses less digits than its factorization.

1100330554224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491899 (or 1491882 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1100330554224 its reverse (4224550330011), we get a palindrome (5324880884235).

The spelling of 1100330554224 in words is "one trillion, one hundred billion, three hundred thirty million, five hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 127 132 176 242 254 264 363 381 484 508 528 726 762 968 1016 1397 1452 1524 1936 2032 2794 2904 3048 4191 5588 5808 6096 8382 11176 15367 16764 22352 30734 33528 46101 61468 67056 92202 122936 184404 245872 368808 737616 1491739 2983478 4475217 5966956 8950434 11933912 16409129 17900868 23867824 32818258 35801736 49227387 65636516 71603472 98454774 131273032 180500419 189450853 196909548 262546064 361000838 378901706 393819096 541501257 568352559 722001676 757803412 787638192 1083002514 1136705118 1444003352 1515606824 2083959383 2166005028 2273410236 2888006704 3031213648 4167918766 4332010056 4546820472 6251878149 8335837532 8664020112 9093640944 12503756298 16671675064 22923553213 25007512596 33343350128 45847106426 50015025192 68770659639 91694212852 100030050384 137541319278 183388425704 275082638556 366776851408 550165277112 1100330554224