Search a number
-
+
3034132101 = 3471113231627
BaseRepresentation
bin1011010011011001…
…0010111010000101
321211110020212210000
42310312102322011
522203214211401
61221023551513
7135121461120
oct26466227205
97743225700
103034132101
1113177633a0
1270815b599
133947a5250
1420ad6d3b7
1512b587186
hexb4d92e85

3034132101 has 160 divisors (see below), whose sum is σ = 6354044928. Its totient is φ = 1390815360.

The previous prime is 3034132067. The next prime is 3034132111. The reversal of 3034132101 is 1012314303.

3034132101 is a `hidden beast` number, since 3 + 0 + 341 + 321 + 0 + 1 = 666.

3034132101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3034132101 - 29 = 3034131589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034132111) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1864050 + ... + 1865676.

Almost surely, 23034132101 is an apocalyptic number.

It is an amenable number.

3034132101 is an abundant number, since it is smaller than the sum of its proper divisors (3319912827).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3034132101 is a wasteful number, since it uses less digits than its factorization.

3034132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3034132101 is about 55082.9565382978. The cubic root of 3034132101 is about 1447.6986245196.

Adding to 3034132101 its reverse (1012314303), we get a palindrome (4046446404).

The spelling of 3034132101 in words is "three billion, thirty-four million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 11 13 21 23 27 33 39 63 69 77 81 91 99 117 143 161 189 207 231 253 273 297 299 351 429 483 567 621 693 759 819 891 897 1001 1053 1287 1449 1627 1771 1863 2079 2093 2277 2457 2691 3003 3289 3861 4347 4881 5313 6237 6279 6831 7371 8073 9009 9867 11389 11583 13041 14643 15939 17897 18837 20493 21151 23023 24219 27027 29601 34167 37421 43929 47817 53691 56511 63453 69069 81081 88803 102501 112263 125279 131787 143451 148057 161073 169533 190359 207207 232661 261947 266409 307503 336789 375837 411631 444171 483219 486473 571077 621621 697983 785841 922509 1010367 1127511 1234893 1332513 1449657 1459419 1628627 1713231 1864863 2093949 2357523 2881417 3031101 3382533 3405311 3704679 3997539 4378257 4885881 5351203 6281847 7072569 8644251 10147599 10215933 11114037 11992617 13134771 14657643 16053609 18845541 21217707 25932753 30647799 33342111 37458421 39404313 43972929 48160827 77798259 91943397 112375263 131918787 144482481 233394777 275830191 337125789 433447443 1011377367 3034132101