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2101041414 = 232355932797
BaseRepresentation
bin111110100111011…
…0101100100000110
312102102110221222200
41331032311210012
513300331311124
6544252335330
7103031362113
oct17516654406
95372427880
102101041414
11988a8a56a
124a7774546
13276393b94
1415d07b90a
15c46c0bc9
hex7d3b5906

2101041414 has 24 divisors (see below), whose sum is σ = 4553674320. Its totient is φ = 700129008.

The previous prime is 2101041379. The next prime is 2101041479. The reversal of 2101041414 is 4141401012.

2101041414 is a `hidden beast` number, since 210 + 1 + 0 + 41 + 414 = 666.

It is a super-3 number, since 3×21010414143 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 47664 + ... + 80460.

It is an arithmetic number, because the mean of its divisors is an integer number (189736430).

Almost surely, 22101041414 is an apocalyptic number.

2101041414 is an abundant number, since it is smaller than the sum of its proper divisors (2452632906).

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

2101041414 is a wasteful number, since it uses less digits than its factorization.

2101041414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36364 (or 36361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2101041414 is about 45837.1182994743. The cubic root of 2101041414 is about 1280.7908146192.

Adding to 2101041414 its reverse (4141401012), we get a palindrome (6242442426).

The spelling of 2101041414 in words is "two billion, one hundred one million, forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 3559 7118 10677 21354 32031 32797 64062 65594 98391 196782 295173 590346 116724523 233449046 350173569 700347138 1050520707 2101041414