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223121003132133 = 32127195206476931
BaseRepresentation
bin110010101110110101101000…
…001000100011010011100101
31002021000011022100002211202200
4302232311220020203103211
5213221103303300212013
62110312212424125113
764665650312263431
oct6256655010432345
91067004270084680
10223121003132133
11651030a45741a7
1221036418606799
1397662b3052882
143d151854059c1
151abdd5171de73
hexcaed682234e5

223121003132133 has 12 divisors (see below), whose sum is σ = 324823577614848. Its totient is φ = 147576096559080.

The previous prime is 223121003132107. The next prime is 223121003132141. The reversal of 223121003132133 is 331231300121322.

223121003132133 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 210 + 0 + 313 + 2 + 133 = 666.

It is not a de Polignac number, because 223121003132133 - 25 = 223121003132101 is a prime.

It is a super-3 number, since 3×2231210031321333 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223121003132097 and 223121003132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223121003132143) 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 11 ways as a sum of consecutive naturals, for example, 97603237323 + ... + 97603239608.

It is an arithmetic number, because the mean of its divisors is an integer number (27068631467904).

Almost surely, 2223121003132133 is an apocalyptic number.

It is an amenable number.

223121003132133 is a deficient number, since it is larger than the sum of its proper divisors (101702574482715).

223121003132133 is a wasteful number, since it uses less digits than its factorization.

223121003132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195206477064 (or 195206477061 counting only the distinct ones).

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

Adding to 223121003132133 its reverse (331231300121322), we get a palindrome (554352303253455).

The spelling of 223121003132133 in words is "two hundred twenty-three trillion, one hundred twenty-one billion, three million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 127 381 1143 195206476931 585619430793 1756858292379 24791222570237 74373667710711 223121003132133