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2135013021 = 32237223669
BaseRepresentation
bin111111101000001…
…1011011010011101
312111210101220021100
41333100123122131
513333030404041
6551504423313
7103623211521
oct17720333235
95453356240
102135013021
119a6182979
124b7017b39
1328042981b
141637a1d81
15c76816b6
hex7f41b69d

2135013021 has 6 divisors (see below), whose sum is σ = 3083907710. Its totient is φ = 1423342008.

The previous prime is 2135013007. The next prime is 2135013037. The reversal of 2135013021 is 1203105312.

It can be written as a sum of positive squares in only one way, i.e., 2055624921 + 79388100 = 45339^2 + 8910^2 .

It is not a de Polignac number, because 2135013021 - 217 = 2134881949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2135012985 and 2135013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135013421) 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 5 ways as a sum of consecutive naturals, for example, 118611826 + ... + 118611843.

Almost surely, 22135013021 is an apocalyptic number.

It is an amenable number.

2135013021 is a deficient number, since it is larger than the sum of its proper divisors (948894689).

2135013021 is a wasteful number, since it uses less digits than its factorization.

2135013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237223675 (or 237223672 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2135013021 is about 46206.2011098078. The cubic root of 2135013021 is about 1287.6569493023.

Adding to 2135013021 its reverse (1203105312), we get a palindrome (3338118333).

The spelling of 2135013021 in words is "two billion, one hundred thirty-five million, thirteen thousand, twenty-one".

Divisors: 1 3 9 237223669 711671007 2135013021