Search a number
-
+
123011011123 = 71113313964133
BaseRepresentation
bin111001010010000000…
…1110001001000110011
3102202111211220211020221
41302210001301020303
54003411304323443
6132302132513511
711613220225330
oct1624401611063
9382454824227
10123011011123
1148194566370
121ba1017b897
13b7a4c55760
145d4d1b7987
1532ee4c1eed
hex1ca4071233

123011011123 has 32 divisors (see below), whose sum is σ = 170489475072. Its totient is φ = 85625251200.

The previous prime is 123011011121. The next prime is 123011011217. The reversal of 123011011123 is 321110110321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123011011123 - 21 = 123011011121 is a prime.

It is a super-2 number, since 2×1230110111232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123011011097 and 123011011106.

It is not an unprimeable number, because it can be changed into a prime (123011011121) 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, 1951036 + ... + 2013097.

It is an arithmetic number, because the mean of its divisors is an integer number (5327796096).

Almost surely, 2123011011123 is an apocalyptic number.

123011011123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123011011123 is a deficient number, since it is larger than the sum of its proper divisors (47478463949).

123011011123 is a wasteful number, since it uses less digits than its factorization.

123011011123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964195.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 123011011123 its reverse (321110110321), we get a palindrome (444121121444).

The spelling of 123011011123 in words is "one hundred twenty-three billion, eleven million, eleven thousand, one hundred twenty-three".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 1001 2387 2821 4433 31031 3964133 27748931 43605463 51533729 122888123 305238241 360736103 566871019 860216861 1351769353 1597545599 3968097133 9462385471 11182819193 17573001589 123011011123