Search a number
-
+
123112113311020 = 22523291379185401
BaseRepresentation
bin11011111111100001000101…
…110010000000110100101100
3121010220101212212000121111011
4123333201011302000310230
5112114032102001423040
61113500531333435004
734634361635645311
oct3377410562006454
9533811785017434
10123112113311020
113625561048a929
1211983b5179ba64
135390565225262
14225892da9cd08
15e376667883ea
hex6ff845c80d2c

123112113311020 has 48 divisors (see below), whose sum is σ = 269785397423808. Its totient is φ = 47102143334400.

The previous prime is 123112113311009. The next prime is 123112113311021. The reversal of 123112113311020 is 20113311211321.

It is a junction number, because it is equal to n+sod(n) for n = 123112113310982 and 123112113311000.

It is not an unprimeable number, because it can be changed into a prime (123112113311021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8810320 + ... + 17995720.

It is an arithmetic number, because the mean of its divisors is an integer number (5620529112996).

Almost surely, 2123112113311020 is an apocalyptic number.

123112113311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123112113311020 is an abundant number, since it is smaller than the sum of its proper divisors (146673284112788).

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

123112113311020 is a wasteful number, since it uses less digits than its factorization.

123112113311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214570 (or 9214568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 123112113311020 its reverse (20113311211321), we get a palindrome (143225424522341).

The spelling of 123112113311020 in words is "one hundred twenty-three trillion, one hundred twelve billion, one hundred thirteen million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 29137 58274 116548 145685 291370 582740 670151 1340302 2680604 3350755 6701510 9185401 13403020 18370802 36741604 45927005 91854010 183708020 211264223 422528446 845056892 1056321115 2112642230 4225284460 267635028937 535270057874 1070540115748 1338175144685 2676350289370 5352700578740 6155605665551 12311211331102 24622422662204 30778028327755 61556056655510 123112113311020