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2920109301 = 3237149229257
BaseRepresentation
bin1010111000001101…
…0101010011110101
321112111200220220100
42232003111103311
521440021444201
61201432024313
7132235343124
oct25603252365
97474626810
102920109301
11126936437a
12695b32099
13376c91b35
141d9b6babb
15121562886
hexae0d54f5

2920109301 has 48 divisors (see below), whose sum is σ = 4397094000. Its totient is φ = 1865908224.

The previous prime is 2920109293. The next prime is 2920109321. The reversal of 2920109301 is 1039010292.

It can be written as a sum of positive squares in 8 ways, for example, as 930860100 + 1989249201 = 30510^2 + 44601^2 .

It is not a de Polignac number, because 2920109301 - 23 = 2920109293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920109321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11362165 + ... + 11362421.

It is an arithmetic number, because the mean of its divisors is an integer number (91606125).

Almost surely, 22920109301 is an apocalyptic number.

It is an amenable number.

2920109301 is a deficient number, since it is larger than the sum of its proper divisors (1476984699).

2920109301 is a wasteful number, since it uses less digits than its factorization.

2920109301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2920109301 is about 54038.0356878375. The cubic root of 2920109301 is about 1429.3317334947.

Adding to 2920109301 its reverse (1039010292), we get a palindrome (3959119593).

The spelling of 2920109301 in words is "two billion, nine hundred twenty million, one hundred nine thousand, three hundred one".

Divisors: 1 3 9 37 111 149 229 257 333 447 687 771 1341 2061 2313 5513 8473 9509 16539 25419 28527 34121 38293 49617 58853 76257 85581 102363 114879 176559 307089 344637 529677 1262477 1416841 2177561 3787431 4250523 6532683 8769097 11362293 12751569 19598049 26307291 78921873 324456589 973369767 2920109301