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233121232001331 = 343889740046259
BaseRepresentation
bin110101000000010111000100…
…001110010001100100110011
31010120102011122110222212010000
4311000113010032101210303
5221023424240343020311
62143450225430441043
7100050311310204132
oct6500270416214463
91116364573885100
10233121232001331
1168309183009013
1222190558b03183
13a01031273274b
14417d1b0aad919
151be40417c0056
hexd405c4391933

233121232001331 has 20 divisors (see below), whose sum is σ = 348332374119400. Its totient is φ = 155374191959616.

The previous prime is 233121232001327. The next prime is 233121232001351. The reversal of 233121232001331 is 133100232121332.

233121232001331 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 1 + 2 + 320 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 233121232001331 - 22 = 233121232001327 is a prime.

It is a super-2 number, since 2×2331212320013312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233121232001295 and 233121232001304.

It is not an unprimeable number, because it can be changed into a prime (233121232001351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 369708121 + ... + 370338138.

It is an arithmetic number, because the mean of its divisors is an integer number (17416618705970).

Almost surely, 2233121232001331 is an apocalyptic number.

233121232001331 is a deficient number, since it is larger than the sum of its proper divisors (115211142118069).

233121232001331 is an equidigital number, since it uses as much as digits as its factorization.

233121232001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740050160 (or 740050151 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 233121232001331 its reverse (133100232121332), we get a palindrome (366221464122663).

The spelling of 233121232001331 in words is "two hundred thirty-three trillion, one hundred twenty-one billion, two hundred thirty-two million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 3889 11667 35001 105003 315009 740046259 2220138777 6660416331 19981248993 59943746979 2878039901251 8634119703753 25902359111259 77707077333777 233121232001331