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1103313144321 = 321931677143753
BaseRepresentation
bin10000000011100010100…
…101101000101000000001
310220110211210022221022200
4100003202211220220001
5121034041131104241
62202504405423413
7142466061663303
oct20034245505001
93813753287280
101103313144321
11395a045633a3
121599b540ab69
13800713103bb
143b587505973
151da7679d4b6
hex100e2968a01

1103313144321 has 96 divisors (see below), whose sum is σ = 1782306938880. Its totient is φ = 654914937600.

The previous prime is 1103313144317. The next prime is 1103313144343. The reversal of 1103313144321 is 1234413133011.

1103313144321 is a `hidden beast` number, since 1 + 1 + 0 + 331 + 3 + 1 + 4 + 4 + 321 = 666.

It is not a de Polignac number, because 1103313144321 - 22 = 1103313144317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1103313144121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25194981 + ... + 25238733.

It is an arithmetic number, because the mean of its divisors is an integer number (18565697280).

Almost surely, 21103313144321 is an apocalyptic number.

It is an amenable number.

1103313144321 is a deficient number, since it is larger than the sum of its proper divisors (678993794559).

1103313144321 is a wasteful number, since it uses less digits than its factorization.

1103313144321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43947 (or 43944 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1103313144321 its reverse (1234413133011), we get a palindrome (2337726277332).

The spelling of 1103313144321 in words is "one trillion, one hundred three billion, three hundred thirteen million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 19 31 57 67 71 93 171 201 213 279 589 603 639 1273 1349 1767 2077 2201 3819 4047 4757 5301 6231 6603 11457 12141 14271 18693 19809 39463 41819 42813 43753 90383 118389 125457 131259 147467 271149 355167 376371 393777 442401 813447 831307 1327203 1356343 2493921 2801873 2931451 3106463 4069029 7481763 8405619 8794353 9319389 12207087 25216857 25770517 26383059 27958167 55697569 59022797 77311551 90874981 96300353 167092707 177068391 208133021 231934653 272624943 288901059 501278121 531205173 624399063 817874829 866703177 1726624639 1829706707 1873197189 3954527399 5179873917 5489120121 6452123651 11863582197 15539621751 16467360363 19356370953 35590746591 58069112859 122590349369 367771048107 1103313144321