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2021132313 = 324577012
BaseRepresentation
bin111100001111000…
…0000100000011001
312012212010011022100
41320132000200121
513114402213223
6532315514013
7101041225014
oct17036004031
95185104270
102021132313
11947970692
12484a58909
13262965ca5
141525da37b
15bc689043
hex78780819

2021132313 has 18 divisors (see below), whose sum is σ = 2929981262. Its totient is φ = 1342555200.

The previous prime is 2021132299. The next prime is 2021132317. The reversal of 2021132313 is 3132311202.

It can be written as a sum of positive squares in 3 ways, for example, as 1435879449 + 585252864 = 37893^2 + 24192^2 .

It is not a de Polignac number, because 2021132313 - 212 = 2021128217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021132317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2882863 + ... + 2883563.

Almost surely, 22021132313 is an apocalyptic number.

It is an amenable number.

2021132313 is a deficient number, since it is larger than the sum of its proper divisors (908848949).

2021132313 is an frugal number, since it uses more digits than its factorization.

2021132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2021132313 is about 44957.0051604864. The cubic root of 2021132313 is about 1264.3430195281.

Adding to 2021132313 its reverse (3132311202), we get a palindrome (5153443515).

The spelling of 2021132313 in words is "two billion, twenty-one million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 457 701 1371 2103 4113 6309 320357 491401 961071 1474203 2883213 4422609 224570257 673710771 2021132313