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2100000301 = 72894431087
BaseRepresentation
bin111110100101011…
…0111011000101101
312102100112001211221
41331022313120231
513300100002201
6544214143341
7103016464600
oct17512673055
95370461757
102100000301
11988439343
124a7351b51
132760bb039
1415cc8a337
15c45674a1
hex7d2b762d

2100000301 has 24 divisors (see below), whose sum is σ = 2478159360. Its totient is φ = 1774124352.

The previous prime is 2100000283. The next prime is 2100000307. The reversal of 2100000301 is 1030000012.

It is not a de Polignac number, because 2100000301 - 27 = 2100000173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100000307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1931380 + ... + 1932466.

It is an arithmetic number, because the mean of its divisors is an integer number (103256640).

Almost surely, 22100000301 is an apocalyptic number.

It is an amenable number.

2100000301 is a deficient number, since it is larger than the sum of its proper divisors (378159059).

2100000301 is a wasteful number, since it uses less digits than its factorization.

2100000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2100000301 is about 45825.7602337375. The cubic root of 2100000301 is about 1280.5792261707.

Adding to 2100000301 its reverse (1030000012), we get a palindrome (3130000313).

The spelling of 2100000301 in words is "two billion, one hundred million, three hundred one", and thus it is an aban number.

Divisors: 1 7 49 89 443 623 1087 3101 4361 7609 21707 39427 53263 96743 275989 481541 677201 1931923 3370787 4740407 23595509 42857149 300000043 2100000301