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110133311322112 = 211135877047049
BaseRepresentation
bin11001000010101001101000…
…111001100011100000000000
3112102221122022211022121201121
4121002221220321203200000
5103413411010144301422
61030122313400042024
732124604060203331
oct3102515071434000
9472848284277647
10110133311322112
1132101303087671
12104286a7163314
13495b6b01c0890
141d2a6a30d2288
15caec481138c7
hex642a68e63800

110133311322112 has 96 divisors (see below), whose sum is σ = 237556337382000. Its totient is φ = 50744157732864.

The previous prime is 110133311322043. The next prime is 110133311322121. The reversal of 110133311322112 is 211223113331011.

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 7 ways as a sum of consecutive naturals, for example, 12104764 + ... + 19151812.

Almost surely, 2110133311322112 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 110133311322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118778168691000).

110133311322112 is an abundant number, since it is smaller than the sum of its proper divisors (127423026059888).

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

110133311322112 is an equidigital number, since it uses as much as digits as its factorization.

110133311322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047671 (or 7047651 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 110133311322112 its reverse (211223113331011), we get a palindrome (321356424653123).

The spelling of 110133311322112 in words is "one hundred ten trillion, one hundred thirty-three billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 587 832 1024 1174 1664 2048 2348 3328 4696 6656 7631 9392 13312 15262 18784 26624 30524 37568 61048 75136 122096 150272 244192 300544 488384 601088 976768 1202176 1953536 3907072 7047049 7814144 14094098 15628288 28188196 56376392 91611637 112752784 183223274 225505568 366446548 451011136 732893096 902022272 1465786192 1804044544 2931572384 3608089088 4136617763 5863144768 7216178176 8273235526 11726289536 14432356352 16546471052 23452579072 33092942104 46905158144 53776030919 66185884208 93810316288 107552061838 132371768416 187620632576 215104123676 264743536832 430208247352 529487073664 860416494704 1058974147328 1720832989408 2117948294656 3441665978816 4235896589312 6883331957632 8471793178624 13766663915264 27533327830528 55066655661056 110133311322112