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123223230031 = 11151347439487
BaseRepresentation
bin111001011000010101…
…1010100011001001111
3102210001122020122212111
41302300223110121033
54004330121330111
6132335153244451
711621405113336
oct1626053243117
9383048218774
10123223230031
11482933345a0
121ba6b263727
13b809bca585
145d6d45ad1d
153312e41a21
hex1cb0ad464f

123223230031 has 32 divisors (see below), whose sum is σ = 136293949440. Its totient is φ = 110478492000.

The previous prime is 123223230023. The next prime is 123223230101. The reversal of 123223230031 is 130032322321.

It is a cyclic number.

It is not a de Polignac number, because 123223230031 - 23 = 123223230023 is a prime.

It is a super-2 number, since 2×1232232300312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123223229984 and 123223230011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123223230001) 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 31 ways as a sum of consecutive naturals, for example, 253024870 + ... + 253025356.

It is an arithmetic number, because the mean of its divisors is an integer number (4259185920).

Almost surely, 2123223230031 is an apocalyptic number.

123223230031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123223230031 is a deficient number, since it is larger than the sum of its proper divisors (13070719409).

123223230031 is a wasteful number, since it uses less digits than its factorization.

123223230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123223230031 its reverse (130032322321), we get a palindrome (253255552352).

The spelling of 123223230031 in words is "one hundred twenty-three billion, two hundred twenty-three million, two hundred thirty thousand, thirty-one".

Divisors: 1 11 151 347 439 487 1661 3817 4829 5357 52397 66289 73537 152333 168989 213793 576367 729179 808907 1675663 1858879 2351723 23002283 25517339 32282743 74186171 253025113 280690729 355110173 816047881 11202111821 123223230031