Search a number
-
+
121122122010010 = 25112100100927281
BaseRepresentation
bin11011100010100011110001…
…000011101000110110011010
3120212212011100221022100102021
4123202203301003220312122
5111333431101213310020
61105334422405525054
734340533044662542
oct3342436103506632
9525764327270367
10121122122010010
1135658670255800
121170234171378a
1352779c84059a4
1421ca4b0598322
15e009e72d61aa
hex6e28f10e8d9a

121122122010010 has 24 divisors (see below), whose sum is σ = 239641619913108. Its totient is φ = 44044408003200.

The previous prime is 121122122009989. The next prime is 121122122010047. The reversal of 121122122010010 is 10010221221121.

It can be written as a sum of positive squares in 2 ways, for example, as 106855781129449 + 14266340880561 = 10337107^2 + 3777081^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50050462431 + ... + 50050464850.

Almost surely, 2121122122010010 is an apocalyptic number.

121122122010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121122122010010 is a deficient number, since it is larger than the sum of its proper divisors (118519497903098).

121122122010010 is a wasteful number, since it uses less digits than its factorization.

121122122010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100100927310 (or 100100927299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121122122010010 its reverse (10010221221121), we get a palindrome (131132343231131).

The spelling of 121122122010010 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, ten thousand, ten".

Divisors: 1 2 5 10 11 22 55 110 121 242 605 1210 100100927281 200201854562 500504636405 1001009272810 1101110200091 2202220400182 5505551000455 11011102000910 12112212201001 24224424402002 60561061005005 121122122010010