Search a number
-
+
123023023012021 = 1131367983028143
BaseRepresentation
bin11011111110001110000111…
…100101011111100010110101
3121010120212220222220111112111
4123332032013211133202311
5112111102122342341041
61113351555131251021
734625056123623256
oct3376160745374265
9533525828814474
10123023023012021
1136220853317650
121196a8295a9a71
135385037a150c2
1422544bb924b2d
15e351a0202981
hex6fe38795f8b5

123023023012021 has 16 divisors (see below), whose sum is σ = 138913673084928. Its totient is φ = 107936489991600.

The previous prime is 123023023012003. The next prime is 123023023012033. The reversal of 123023023012021 is 120210320320321.

It is a cyclic number.

It is not a de Polignac number, because 123023023012021 - 221 = 123023020914869 is a prime.

It is a super-2 number, since 2×1230230230120212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123023023011983 and 123023023012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023023012051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491388925 + ... + 491639218.

It is an arithmetic number, because the mean of its divisors is an integer number (8682104567808).

Almost surely, 2123023023012021 is an apocalyptic number.

123023023012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123023023012021 is a deficient number, since it is larger than the sum of its proper divisors (15890650072907).

123023023012021 is a wasteful number, since it uses less digits than its factorization.

123023023012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983028552.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123023023012021 its reverse (120210320320321), we get a palindrome (243233343332342).

The spelling of 123023023012021 in words is "one hundred twenty-three trillion, twenty-three billion, twenty-three million, twelve thousand, twenty-one".

Divisors: 1 11 31 341 367 4037 11377 125147 983028143 10813309573 30473872433 335212596763 360771328481 3968484613291 11183911182911 123023023012021