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210123302131 = 1789523326539
BaseRepresentation
bin1100001110110001010…
…0110010010011110011
3202002100212001201100101
43003230110302103303
511420313031132011
6240310155333231
721116023412251
oct3035424622363
9662325051311
10210123302131
11811271429a6
1234881a51217
1316a7871b592
14a25477d5d1
1556ec08b2c1
hex30ec5324f3

210123302131 has 16 divisors (see below), whose sum is σ = 225034783200. Its totient is φ = 195496316928.

The previous prime is 210123302111. The next prime is 210123302141. The reversal of 210123302131 is 131203321012.

210123302131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210123302131 is a prime.

It is a super-2 number, since 2×2101233021312 (a number of 23 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 = 210123302099 and 210123302108.

It is not an unprimeable number, because it can be changed into a prime (210123302111) 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 15 ways as a sum of consecutive naturals, for example, 7904260 + ... + 7930798.

It is an arithmetic number, because the mean of its divisors is an integer number (14064673950).

Almost surely, 2210123302131 is an apocalyptic number.

210123302131 is a deficient number, since it is larger than the sum of its proper divisors (14911481069).

210123302131 is a wasteful number, since it uses less digits than its factorization.

210123302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31878.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 210123302131 its reverse (131203321012), we get a palindrome (341326623143).

The spelling of 210123302131 in words is "two hundred ten billion, one hundred twenty-three million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 17 89 1513 5233 26539 88961 451163 465737 2361971 7917529 40153507 138878587 2360935979 12360194243 210123302131