Search a number
-
+
120022111101102 = 2372442579224269
BaseRepresentation
bin11011010010100011010011…
…010011000010000010101110
3120201222000001021201100110220
4123102203103103002002232
5111212420240420213402
61103133221402312210
734165211541351600
oct3322432323020256
9521860037640426
10120022111101102
1135274100823791
121156510a1b8666
1351c80622ab252
14218d15b891170
15dd20b58ccdbc
hex6d28d34c20ae

120022111101102 has 48 divisors (see below), whose sum is σ = 279241455295440. Its totient is φ = 34291253187072.

The previous prime is 120022111101071. The next prime is 120022111101121. The reversal of 120022111101102 is 201101111220021.

It is a happy number.

It is a super-2 number, since 2×1200221111011022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8399424 + ... + 17623692.

It is an arithmetic number, because the mean of its divisors is an integer number (5817530318655).

Almost surely, 2120022111101102 is an apocalyptic number.

120022111101102 is an abundant number, since it is smaller than the sum of its proper divisors (159219344194338).

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

120022111101102 is a wasteful number, since it uses less digits than its factorization.

120022111101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268545 (or 9268538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120022111101102 its reverse (201101111220021), we get a palindrome (321123222321123).

The spelling of 120022111101102 in words is "one hundred twenty trillion, twenty-two billion, one hundred eleven million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 44257 88514 132771 265542 309799 619598 929397 1858794 2168593 4337186 6505779 9224269 13011558 18448538 27672807 55345614 64569883 129139766 193709649 387419298 451989181 903978362 1355967543 2711935086 408238473133 816476946266 1224715419399 2449430838798 2857669311931 5715338623862 8573007935793 17146015871586 20003685183517 40007370367034 60011055550551 120022111101102