Search a number
-
+
120201122010101 = 11131347919261577
BaseRepresentation
bin11011010101001010000001…
…001011011101001111110101
3120202121010002212022201221112
4123111022001023131033311
5111223333344213310401
61103351344431324405
734214146600104506
oct3325120113351765
9522533085281845
10120201122010101
1135333011813190
1211593948680705
13520bbc0034b42
142197aa017cbad
15dd6a9135c3bb
hex6d52812dd3f5

120201122010101 has 32 divisors (see below), whose sum is σ = 132654950968320. Its totient is φ = 108009020246400.

The previous prime is 120201122010083. The next prime is 120201122010131. The reversal of 120201122010101 is 101010221102021.

It is a cyclic number.

It is not a de Polignac number, because 120201122010101 - 26 = 120201122010037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201122010131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459394025 + ... + 459655601.

It is an arithmetic number, because the mean of its divisors is an integer number (4145467217760).

Almost surely, 2120201122010101 is an apocalyptic number.

120201122010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120201122010101 is a deficient number, since it is larger than the sum of its proper divisors (12453828958219).

120201122010101 is a wasteful number, since it uses less digits than its factorization.

120201122010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262985.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120201122010101 its reverse (101010221102021), we get a palindrome (221211343112122).

The spelling of 120201122010101 in words is "one hundred twenty trillion, two hundred one billion, one hundred twenty-two million, ten thousand, one hundred one".

Divisors: 1 11 131 347 919 1441 3817 10109 45457 120389 261577 318893 500027 1324279 2877347 3507823 34266587 41774983 90767219 240389263 376932457 459524813 998439409 2644281893 11890505689 31490993453 83415074261 130795562579 346400927983 917565816871 10927374728191 120201122010101