Search a number
-
+
120222301002232 = 231113127782293989
BaseRepresentation
bin11011010101011101101111…
…100010111001100111111000
3120202200010202212100000100111
4123111131233202321213320
5111224210233024032412
61103405210154514104
734215526456422322
oct3325355742714770
9522603685300314
10120222301002232
1135340a9a7aa470
1211597a79435934
135210bb6a59b50
142198b0cc86612
15dd73d08642a7
hex6d576f8b99f8

120222301002232 has 64 divisors (see below), whose sum is σ = 265032732434400. Its totient is φ = 50403421770240.

The previous prime is 120222301002119. The next prime is 120222301002299. The reversal of 120222301002232 is 232200103222021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39686107 + ... + 42607882.

Almost surely, 2120222301002232 is an apocalyptic number.

It is an amenable number.

120222301002232 is an abundant number, since it is smaller than the sum of its proper divisors (144810431432168).

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

120222301002232 is a wasteful number, since it uses less digits than its factorization.

120222301002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82295296 (or 82295292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 120222301002232 its reverse (232200103222021), we get a palindrome (352422404224253).

The spelling of 120222301002232 in words is "one hundred twenty trillion, two hundred twenty-two billion, three hundred one million, two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1277 2554 5108 10216 14047 16601 28094 33202 56188 66404 112376 132808 182611 365222 730444 1460888 82293989 164587978 329175956 658351912 905233879 1069821857 1810467758 2139643714 3620935516 4279287428 7241871032 8558574856 11768040427 23536080854 47072161708 94144323416 105089423953 210178847906 420357695812 840715391624 1155983663483 1366162511389 2311967326966 2732325022778 4623934653932 5464650045556 9247869307864 10929300091112 15027787625279 30055575250558 60111150501116 120222301002232