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120011223003311 = 19213967313072719
BaseRepresentation
bin11011010010011001001010…
…010100001111000010101111
3120201220221221110211200012202
4123102121022110033002233
5111212230441042101221
61103124221132452115
734164344661142343
oct3322311224170257
9521827843750182
10120011223003311
113526a523776762
1211562b8b91a03b
1351c7018603a33
14218c8077cd623
15dd1b79a94d0b
hex6d264a50f0af

120011223003311 has 48 divisors (see below), whose sum is σ = 127905599001600. Its totient is φ = 112581516612096.

The previous prime is 120011223003289. The next prime is 120011223003389. The reversal of 120011223003311 is 113300322110021.

It is a happy number.

It is not a de Polignac number, because 120011223003311 - 242 = 115613176492207 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011223008311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44137999010 + ... + 44138001728.

It is an arithmetic number, because the mean of its divisors is an integer number (2664699979200).

Almost surely, 2120011223003311 is an apocalyptic number.

120011223003311 is a deficient number, since it is larger than the sum of its proper divisors (7894375998289).

120011223003311 is a wasteful number, since it uses less digits than its factorization.

120011223003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 120011223003311 its reverse (113300322110021), we get a palindrome (233311545113332).

The spelling of 120011223003311 in words is "one hundred twenty trillion, eleven billion, two hundred twenty-three million, three thousand, three hundred eleven".

Divisors: 1 19 139 361 673 1307 2641 2719 12787 24833 50179 51661 93547 181673 242953 377941 471827 879611 981559 1777393 1829887 3451787 3553733 7180879 16712609 33770467 34767853 65583953 67520927 122265929 136436701 254354293 317539571 493968887 660589207 1282897613 2323052651 2391662309 4832731567 9385408853 44138000369 45441583871 91821899773 178322768207 332441060951 863390093549 6316380158069 120011223003311