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2111332340 = 2251317477677
BaseRepresentation
bin111110111011000…
…0101111111110100
312110010211210111002
41331312011333310
513311000113330
6545301102432
7103215012605
oct17566057764
95403753432
102111332340
11993879267
124ab0b7a18
13278557ca0
14160599dac
15c5554e45
hex7dd85ff4

2111332340 has 48 divisors (see below), whose sum is σ = 5055743952. Its totient is φ = 733710336.

The previous prime is 2111332339. The next prime is 2111332367. The reversal of 2111332340 is 432331112.

2111332340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 133217764 + 1978114576 = 11542^2 + 44476^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234419 + ... + 243258.

It is an arithmetic number, because the mean of its divisors is an integer number (105327999).

Almost surely, 22111332340 is an apocalyptic number.

2111332340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111332340 is an abundant number, since it is smaller than the sum of its proper divisors (2944411612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111332340 is a wasteful number, since it uses less digits than its factorization.

2111332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477716 (or 477714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2111332340 is about 45949.2365551377. The cubic root of 2111332340 is about 1282.8785193672.

Adding to 2111332340 its reverse (432331112), we get a palindrome (2543663452).

The spelling of 2111332340 in words is "two billion, one hundred eleven million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 477677 955354 1910708 2388385 4776770 6209801 8120509 9553540 12419602 16241018 24839204 31049005 32482036 40602545 62098010 81205090 105566617 124196020 162410180 211133234 422266468 527833085 1055666170 2111332340