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105031341549 = 352233595399
BaseRepresentation
bin110000111010001011…
…0110001010111101101
3101001002210222222100000
41201310112301113231
53210101010412144
6120130054054513
710405526446521
oct1416426612755
9331083888300
10105031341549
11405a84aa512
121843294a439
139b9acc2b14
14512535dd81
152aeacd2769
hex18745b15ed

105031341549 has 48 divisors (see below), whose sum is σ = 158505984000. Its totient is φ = 69499854576.

The previous prime is 105031341539. The next prime is 105031341551. The reversal of 105031341549 is 945143130501.

105031341549 is a `hidden beast` number, since 1 + 0 + 50 + 31 + 34 + 1 + 549 = 666.

It is not a de Polignac number, because 105031341549 - 24 = 105031341533 is a prime.

It is a super-2 number, since 2×1050313415492 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105031341539) 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, 19451152 + ... + 19456550.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208000).

Almost surely, 2105031341549 is an apocalyptic number.

It is an amenable number.

105031341549 is a deficient number, since it is larger than the sum of its proper divisors (53474642451).

105031341549 is an equidigital number, since it uses as much as digits as its factorization.

105031341549 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105031341549 in words is "one hundred five billion, thirty-one million, three hundred forty-one thousand, five hundred forty-nine".

Divisors: 1 3 9 27 81 223 243 359 669 1077 2007 3231 5399 6021 9693 16197 18063 29079 48591 54189 80057 87237 145773 240171 437319 720513 1203977 1311957 1938241 2161539 3611931 5814723 6484617 10835793 17444169 19453851 32507379 52332507 97522137 156997521 292566411 432227743 470992563 1296683229 3890049687 11670149061 35010447183 105031341549