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2101540213 = 11338947809
BaseRepresentation
bin111110101000010…
…1111010101110101
312102110102022012201
41331100233111311
513300443241323
6544311144501
7103035540253
oct17520572565
95373368181
102101540213
119892a02a3
124a7975131
13276509c26
1415d16b5d3
15c476d8ad
hex7d42f575

2101540213 has 8 divisors (see below), whose sum is σ = 2125632600. Its totient is φ = 2077544448.

The previous prime is 2101540183. The next prime is 2101540307. The reversal of 2101540213 is 3120451012.

It can be written as a sum of positive squares in 4 ways, for example, as 240653169 + 1860887044 = 15513^2 + 43138^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2101540213 is a prime.

It is a super-3 number, since 3×21015402133 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101540513) 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 7 ways as a sum of consecutive naturals, for example, 20053 + ... + 67861.

It is an arithmetic number, because the mean of its divisors is an integer number (265704075).

Almost surely, 22101540213 is an apocalyptic number.

It is an amenable number.

2101540213 is a deficient number, since it is larger than the sum of its proper divisors (24092387).

2101540213 is a wasteful number, since it uses less digits than its factorization.

2101540213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48311.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2101540213 is about 45842.5589708952. The cubic root of 2101540213 is about 1280.8921622373.

Adding to 2101540213 its reverse (3120451012), we get a palindrome (5221991225).

The spelling of 2101540213 in words is "two billion, one hundred one million, five hundred forty thousand, two hundred thirteen".

Divisors: 1 113 389 43957 47809 5402417 18597701 2101540213