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123202310123031 = 3187970123311681
BaseRepresentation
bin11100000000110101000101…
…111011100010111000010111
3121011020000200211020101221020
4130000311011323202320113
5112122021312342414111
61114010205424252223
734644034045130646
oct3400650573427027
9534200624211836
10123202310123031
113628a896206777
1211999524471073
135398c0aa56739
14225d048b8d35d
15e39b9503e906
hex700d45ee2e17

123202310123031 has 16 divisors (see below), whose sum is σ = 164360042031360. Its totient is φ = 82089727349760.

The previous prime is 123202310122961. The next prime is 123202310123047. The reversal of 123202310123031 is 130321013202321.

It is not a de Polignac number, because 123202310123031 - 210 = 123202310122007 is a prime.

It is a super-3 number, since 3×1232023101230313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123202310122992 and 123202310123010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123202310128031) 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, 395127511 + ... + 395439191.

It is an arithmetic number, because the mean of its divisors is an integer number (10272502626960).

Almost surely, 2123202310123031 is an apocalyptic number.

123202310123031 is a deficient number, since it is larger than the sum of its proper divisors (41157731908329).

123202310123031 is a wasteful number, since it uses less digits than its factorization.

123202310123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383686.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 123202310123031 its reverse (130321013202321), we get a palindrome (253523323325352).

The spelling of 123202310123031 in words is "one hundred twenty-three trillion, two hundred two billion, three hundred ten million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 1879 5637 70123 210369 311681 935043 131761117 395283351 585648599 1756945797 21856006763 65568020289 41067436707677 123202310123031