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201044444013 = 357219888661
BaseRepresentation
bin1011101100111100101…
…1101100001101101101
3201012221010120221100000
42323033023230031231
511243214334202023
6232205240054513
720345032402200
oct2731713541555
9635833527300
10201044444013
1178298390476
1232b69464439
1315c5c81a89a
149a32abb937
155369ed4243
hex2ecf2ec36d

201044444013 has 72 divisors (see below), whose sum is σ = 368759183520. Its totient is φ = 108835967520.

The previous prime is 201044443979. The next prime is 201044444023. The reversal of 201044444013 is 310444440102.

201044444013 is a `hidden beast` number, since 201 + 0 + 4 + 4 + 4 + 440 + 13 = 666.

It is not a de Polignac number, because 201044444013 - 220 = 201043395437 is a prime.

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 (201044444023) 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, 218098 + ... + 670563.

Almost surely, 2201044444013 is an apocalyptic number.

It is an amenable number.

201044444013 is a deficient number, since it is larger than the sum of its proper divisors (167714739507).

201044444013 is an equidigital number, since it uses as much as digits as its factorization.

201044444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888709 (or 888690 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201044444013 its reverse (310444440102), we get a palindrome (511488884115).

The spelling of 201044444013 in words is "two hundred one billion, forty-four million, four hundred forty-four thousand, thirteen".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 171 189 243 399 441 513 567 931 1197 1323 1539 1701 2793 3591 3969 4617 8379 10773 11907 25137 32319 75411 226233 888661 2665983 6220627 7997949 16884559 18661881 23993847 43544389 50653677 55985643 71981541 118191913 130633167 151961031 167956929 215944623 354575739 391899501 455883093 503870787 827343391 1063727217 1175698503 1367649279 1511612361 2482030173 3191181651 3527095509 4102947837 7446090519 9573544953 10581286527 22338271557 28720634859 67014814671 201044444013