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3123232310133 = 3213215122376079
BaseRepresentation
bin101101011100101111001…
…001110000001101110101
3102001120121102121020212200
4231130233021300031311
5402132334432411013
610350443151335113
7441434415416145
oct55345711601565
912046542536780
103123232310133
11aa4612242291
12425378221499
1319869a589400
14ab245638925
155639837ae73
hex2d72f270375

3123232310133 has 72 divisors (see below), whose sum is σ = 4920414520320. Its totient is φ = 1908093283200.

The previous prime is 3123232310117. The next prime is 3123232310147. The reversal of 3123232310133 is 3310132323213.

3123232310133 is a `hidden beast` number, since 3 + 1 + 232 + 323 + 101 + 3 + 3 = 666.

3123232310133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3123232310133 - 24 = 3123232310117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3123232310097 and 3123232310106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123232310173) 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 71 ways as a sum of consecutive naturals, for example, 513770988 + ... + 513777066.

It is an arithmetic number, because the mean of its divisors is an integer number (68339090560).

Almost surely, 23123232310133 is an apocalyptic number.

It is an amenable number.

3123232310133 is a deficient number, since it is larger than the sum of its proper divisors (1797182210187).

3123232310133 is a wasteful number, since it uses less digits than its factorization.

3123232310133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8499 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3123232310133 its reverse (3310132323213), we get a palindrome (6433364633346).

The spelling of 3123232310133 in words is "three trillion, one hundred twenty-three billion, two hundred thirty-two million, three hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 151 169 453 507 1359 1521 1963 2237 5889 6079 6711 17667 18237 20133 25519 29081 54711 76557 79027 87243 229671 237081 261729 337787 378053 711243 917929 1013361 1027351 1134159 2753787 3040083 3082053 3402477 4391231 8261361 9246159 11933077 13173693 13598723 35799231 39521079 40796169 57086003 107397693 122388507 155130001 171258009 176783399 465390003 513774027 530350197 1396170009 1591050591 2053407173 2298184187 6160221519 6894552561 18480664557 20683657683 26694293249 80082879747 240248639241 347025812237 1041077436711 3123232310133