Search a number
-
+
11434010210301 = 3721032233386407
BaseRepresentation
bin1010011001100011000000…
…0111011110111111111101
31111111002011211102202000210
42212120300013132333331
52444313323103212201
640152413424343033
72260036301123400
oct246306007367775
944432154382023
1011434010210301
113709155752728
121347ba2a74a79
1364c2b7bb2393
142b75a25d3d37
1514c658cbc1d6
hexa66301deffd

11434010210301 has 48 divisors (see below), whose sum is σ = 17986865455104. Its totient is φ = 6441269306976.

The previous prime is 11434010210281. The next prime is 11434010210377. The reversal of 11434010210301 is 10301201043411.

It is not a de Polignac number, because 11434010210301 - 26 = 11434010210237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434010211301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1683240 + ... + 5069646.

It is an arithmetic number, because the mean of its divisors is an integer number (374726363648).

Almost surely, 211434010210301 is an apocalyptic number.

It is an amenable number.

11434010210301 is a deficient number, since it is larger than the sum of its proper divisors (6552855244803).

11434010210301 is a wasteful number, since it uses less digits than its factorization.

11434010210301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386750 (or 3386743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11434010210301 its reverse (10301201043411), we get a palindrome (21735211253712).

The spelling of 11434010210301 in words is "eleven trillion, four hundred thirty-four billion, ten million, two hundred ten thousand, three hundred one".

Divisors: 1 3 7 21 49 103 147 223 309 669 721 1561 2163 4683 5047 10927 15141 22969 32781 68907 160783 482349 1125481 3376443 3386407 10159221 23704849 71114547 165933943 348799921 497801829 755168761 1046399763 2265506283 2441599447 5286181327 7324798341 15858543981 17091196129 37003269289 51273588387 77782382383 111009807867 233347147149 544476676681 1633430030043 3811336736767 11434010210301