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401121105 = 35721149613
BaseRepresentation
bin10111111010001…
…001111101010001
31000221210001201020
4113322021331101
51310141333410
6103445230053
712640321200
oct2772117521
91027701636
10401121105
11196471250
12b2402329
1365144988
143b3b7237
1525335a70
hex17e89f51

401121105 has 48 divisors (see below), whose sum is σ = 814463424. Its totient is φ = 166696320.

The previous prime is 401121101. The next prime is 401121169. The reversal of 401121105 is 501121104.

It is a happy number.

It is not a de Polignac number, because 401121105 - 22 = 401121101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (401121101) 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, 16722 + ... + 32891.

It is an arithmetic number, because the mean of its divisors is an integer number (16967988).

Almost surely, 2401121105 is an apocalyptic number.

It is an amenable number.

401121105 is an abundant number, since it is smaller than the sum of its proper divisors (413342319).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401121105 is a wasteful number, since it uses less digits than its factorization.

401121105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49646 (or 49639 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 401121105 is about 20028.0080137791. The cubic root of 401121105 is about 737.4940219759.

Adding to 401121105 its reverse (501121104), we get a palindrome (902242209).

Subtracting 401121105 from its reverse (501121104), we obtain a palindrome (99999999).

The spelling of 401121105 in words is "four hundred one million, one hundred twenty-one thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 49613 148839 248065 347291 545743 744195 1041873 1637229 1736455 2431037 2728715 3820201 5209365 7293111 8186145 11460603 12155185 19101005 26741407 36465555 57303015 80224221 133707035 401121105