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231423020323001 = 132910157637105449
BaseRepresentation
bin110100100111101001011110…
…111010110101000010111001
31010100101211021012010012000222
4310213221132322311002321
5220313113321200314001
62140110133504505425
766513522116126303
oct6447513672650271
91110354235105028
10231423020323001
1167813a51872021
1221b573b931b275
139c1913565b5a0
144120d10a78973
151bb4c9ce9e61b
hexd27a5eeb50b9

231423020323001 has 32 divisors (see below), whose sum is σ = 260378396964000. Its totient is φ = 204207391180800.

The previous prime is 231423020322971. The next prime is 231423020323031. The reversal of 231423020323001 is 100323020324132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231423020322971) and next prime (231423020323031).

It can be written as a sum of positive squares in 16 ways, for example, as 18578263683001 + 212844756640000 = 4310251^2 + 14589200^2 .

It is a cyclic number.

It is not a de Polignac number, because 231423020323001 - 234 = 231405840453817 is a prime.

It is a super-3 number, since 3×2314230203230013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231423020323031) 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, 2194591325 + ... + 2194696773.

It is an arithmetic number, because the mean of its divisors is an integer number (8136824905125).

Almost surely, 2231423020323001 is an apocalyptic number.

It is an amenable number.

231423020323001 is a deficient number, since it is larger than the sum of its proper divisors (28955376640999).

231423020323001 is a wasteful number, since it uses less digits than its factorization.

231423020323001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163229.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 231423020323001 its reverse (100323020324132), we get a palindrome (331746040647133).

The spelling of 231423020323001 in words is "two hundred thirty-one trillion, four hundred twenty-three billion, twenty million, three hundred twenty-three thousand, one".

Divisors: 1 13 29 101 377 1313 2929 38077 57637 105449 749281 1370837 1671473 3058021 5821337 10650349 21729149 39754273 75677381 138454537 168818773 308860121 2194644049 4015181573 6077764013 79010932169 176255156377 613854165313 2291317032901 7980104149069 17801770794077 231423020323001