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2100424014 = 233134172977
BaseRepresentation
bin111110100110001…
…1110110101001110
312102101022121002000
41331030132311032
513300202032024
6544231213130
7103023211113
oct17514366516
95371277060
102100424014
119886a8717
124a75171a6
13276208b60
1415cd5a90a
15c45eccc9
hex7d31ed4e

2100424014 has 64 divisors (see below), whose sum is σ = 5149327680. Its totient is φ = 630512640.

The previous prime is 2100423971. The next prime is 2100424033. The reversal of 2100424014 is 4104240012.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7707 + ... + 65270.

It is an arithmetic number, because the mean of its divisors is an integer number (80458245).

Almost surely, 22100424014 is an apocalyptic number.

2100424014 is an abundant number, since it is smaller than the sum of its proper divisors (3048903666).

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

2100424014 is a wasteful number, since it uses less digits than its factorization.

2100424014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73042 (or 73036 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2100424014 is about 45830.3830880782. The cubic root of 2100424014 is about 1280.6653470436.

Adding to 2100424014 its reverse (4104240012), we get a palindrome (6204664026).

The spelling of 2100424014 in words is "two billion, one hundred million, four hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 351 369 533 702 738 1066 1107 1599 2214 3198 4797 9594 14391 28782 72977 145954 218931 437862 656793 948701 1313586 1897402 1970379 2846103 2992057 3940758 5692206 5984114 8538309 8976171 17076618 17952342 25614927 26928513 38896741 51229854 53857026 77793482 80785539 116690223 161571078 233380446 350070669 700141338 1050212007 2100424014