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120110210021022 = 231347199164639633
BaseRepresentation
bin11011010011110101010110…
…011001101111011010011110
3120202021102110001101011222220
4123103311112121233122132
5111220341202231133042
61103241511352050210
734204450654666614
oct3323652631573236
9522242401334886
10120110210021022
11352a84aa321211
121157a1b6393966
1352034622ac170
1421935180c36b4
15dd451edd68ec
hex6d3d5666f69e

120110210021022 has 64 divisors (see below), whose sum is σ = 265530801715200. Its totient is φ = 35988906438144.

The previous prime is 120110210021017. The next prime is 120110210021023. The reversal of 120110210021022 is 220120012011021.

120110210021022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120110210020992 and 120110210021010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120110210021023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81590283 + ... + 83049350.

It is an arithmetic number, because the mean of its divisors is an integer number (4148918776800).

Almost surely, 2120110210021022 is an apocalyptic number.

120110210021022 is an abundant number, since it is smaller than the sum of its proper divisors (145420591694178).

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

120110210021022 is a wasteful number, since it uses less digits than its factorization.

120110210021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164639897.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120110210021022 its reverse (220120012011021), we get a palindrome (340230222032043).

The spelling of 120110210021022 in words is "one hundred twenty trillion, one hundred ten billion, two hundred ten million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 199 282 398 597 611 1194 1222 1833 2587 3666 5174 7761 9353 15522 18706 28059 56118 121589 243178 364767 729534 164639633 329279266 493918899 987837798 2140315229 4280630458 6420945687 7738062751 12841891374 15476125502 23214188253 32763286967 46428376506 65526573934 98289860901 100594815763 196579721802 201189631526 301784447289 425922730571 603568894578 851845461142 1277768191713 1539874487449 2555536383426 3079748974898 4619623462347 9239246924694 20018368336837 40036736673674 60055105010511 120110210021022