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10120242011 = 114122439561
BaseRepresentation
bin10010110110011011…
…01010001101011011
3222010022000120011012
421123031222031123
5131211240221021
64352115524135
7505534431515
oct113315521533
928108016135
1010120242011
114323681680
121b652b964b
13c5389a5a9
146c0102bb5
153e371035b
hex25b36a35b

10120242011 has 8 divisors (see below), whose sum is σ = 11309539248. Its totient is φ = 8975824000.

The previous prime is 10120241993. The next prime is 10120242017. The reversal of 10120242011 is 11024202101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10120242011 - 226 = 10053133147 is a prime.

It is a super-2 number, since 2×101202420112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120242017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11219330 + ... + 11220231.

It is an arithmetic number, because the mean of its divisors is an integer number (1413692406).

Almost surely, 210120242011 is an apocalyptic number.

10120242011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120242011 is a deficient number, since it is larger than the sum of its proper divisors (1189297237).

10120242011 is a wasteful number, since it uses less digits than its factorization.

10120242011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22439613.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10120242011 its reverse (11024202101), we get a palindrome (21144444112).

It can be divided in two parts, 10 and 120242011, that added together give a palindrome (120242021).

The spelling of 10120242011 in words is "ten billion, one hundred twenty million, two hundred forty-two thousand, eleven".

Divisors: 1 11 41 451 22439561 246835171 920022001 10120242011