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120313022321034 = 23319117264154309
BaseRepresentation
bin11011010110110010001110…
…111101010001000110001010
3120202222210221101111111212000
4123112302032331101012022
5111232202032203233114
61103515012303331430
734225220565051204
oct3326621675210612
9522883841444760
10120313022321034
1135376514600aa4
12115b15778b0b76
135219614143c8a
14219d2778ab774
15dd99401c4e09
hex6d6c8ef5118a

120313022321034 has 32 divisors (see below), whose sum is σ = 281433970344000. Its totient is φ = 37993585995792.

The previous prime is 120313022321029. The next prime is 120313022321059. The reversal of 120313022321034 is 430123220313021.

120313022321034 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 302 + 2 + 321 + 0 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120313022320989 and 120313022321007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58632076129 + ... + 58632078180.

It is an arithmetic number, because the mean of its divisors is an integer number (8794811573250).

Almost surely, 2120313022321034 is an apocalyptic number.

120313022321034 is an abundant number, since it is smaller than the sum of its proper divisors (161120948022966).

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

120313022321034 is a wasteful number, since it uses less digits than its factorization.

120313022321034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117264154339 (or 117264154333 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 120313022321034 its reverse (430123220313021), we get a palindrome (550436242634055).

The spelling of 120313022321034 in words is "one hundred twenty trillion, three hundred thirteen billion, twenty-two million, three hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 117264154309 234528308618 351792462927 703584925854 1055377388781 2110754777562 2228018931871 3166132166343 4456037863742 6332264332686 6684056795613 13368113591226 20052170386839 40104340773678 60156511160517 120313022321034