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2130100021 = 72118136809
BaseRepresentation
bin111111011110110…
…1011111100110101
312111110011021220101
41332331223330311
513330301200041
6551211234101
7103533360100
oct17675537465
95443137811
102130100021
119a3427745
124b5448931
1327c3c951a
14162c83737
15c7010b31
hex7ef6bf35

2130100021 has 12 divisors (see below), whose sum is σ = 2480036940. Its totient is φ = 1824204480.

The previous prime is 2130100001. The next prime is 2130100031. The reversal of 2130100021 is 1200010312.

It can be written as a sum of positive squares in 2 ways, for example, as 1441037521 + 689062500 = 37961^2 + 26250^2 .

It is not a de Polignac number, because 2130100021 - 27 = 2130099893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2130099980 and 2130100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39465 + ... + 76273.

It is an arithmetic number, because the mean of its divisors is an integer number (206669745).

Almost surely, 22130100021 is an apocalyptic number.

It is an amenable number.

2130100021 is a deficient number, since it is larger than the sum of its proper divisors (349936919).

2130100021 is a wasteful number, since it uses less digits than its factorization.

2130100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38004 (or 37997 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2130100021 is about 46153.0066301211. The cubic root of 2130100021 is about 1286.6684904789.

Adding to 2130100021 its reverse (1200010312), we get a palindrome (3330110333).

The spelling of 2130100021 in words is "two billion, one hundred thirty million, one hundred thousand, twenty-one".

Divisors: 1 7 49 1181 8267 36809 57869 257663 1803641 43471429 304300003 2130100021