Search a number
-
+
130201242243021 = 3519210913616803
BaseRepresentation
bin11101100110101011010110…
…110010110000111111001101
3122002000010011102210110100000
4131212223112302300333031
5114031204121003234041
61140525342553354513
736265505105433315
oct3546532662607715
9562003142713300
10130201242243021
11385390449a7a54
1212729a58708a39
135785c030692b1
142421ab9248445
15100bc76aeebb6
hex766ad6cb0fcd

130201242243021 has 72 divisors (see below), whose sum is σ = 207727613052960. Its totient is φ = 81477932184864.

The previous prime is 130201242243011. The next prime is 130201242243029. The reversal of 130201242243021 is 120342242102031.

130201242243021 is a `hidden beast` number, since 1 + 3 + 0 + 201 + 2 + 4 + 2 + 2 + 430 + 21 = 666.

It is not a de Polignac number, because 130201242243021 - 213 = 130201242234829 is a prime.

It is a super-2 number, since 2×1302012422430212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130201242243029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2753406 + ... + 16370208.

Almost surely, 2130201242243021 is an apocalyptic number.

It is an amenable number.

130201242243021 is a deficient number, since it is larger than the sum of its proper divisors (77526370809939).

130201242243021 is a wasteful number, since it uses less digits than its factorization.

130201242243021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13616965 (or 13616934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130201242243021 its reverse (120342242102031), we get a palindrome (250543484345052).

The spelling of 130201242243021 in words is "one hundred thirty trillion, two hundred one billion, two hundred forty-two million, two hundred forty-three thousand, twenty-one".

Divisors: 1 3 9 19 27 57 81 109 171 243 327 361 513 981 1083 1539 2071 2943 3249 4617 6213 8829 9747 18639 26487 29241 39349 55917 87723 118047 167751 354141 503253 1062423 3187269 9561807 13616803 40850409 122551227 258719257 367653681 776157771 1102961043 1484231527 2328473313 3308883129 4452694581 4915665883 6985419939 13358083743 14746997649 20956259817 28200399013 40074251229 44240992947 62868779451 84601197039 120222753687 132722978841 253803591117 360668261061 398168936523 535807581247 761410773351 1194506809569 1607422743741 2284232320053 4822268231223 6852696960159 14466804693669 43400414081007 130201242243021