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2031131609 = 13295387617
BaseRepresentation
bin111100100010000…
…1001101111011001
312020112221011202122
41321010021233121
513124432202414
6533314111025
7101222222333
oct17104115731
95215834678
102031131609
11952580271
1248827b475
13264a57430
14153a80453
15bd4b1b8e
hex79109bd9

2031131609 has 8 divisors (see below), whose sum is σ = 2262799560. Its totient is φ = 1810238976.

The previous prime is 2031131603. The next prime is 2031131623. The reversal of 2031131609 is 9061311302.

It can be written as a sum of positive squares in 4 ways, for example, as 632371609 + 1398760000 = 25147^2 + 37400^2 .

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

It is not a de Polignac number, because 2031131609 - 28 = 2031131353 is a prime.

It is a super-2 number, since 2×20311316092 = 8250991226157857762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2031131603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2693432 + ... + 2694185.

It is an arithmetic number, because the mean of its divisors is an integer number (282849945).

Almost surely, 22031131609 is an apocalyptic number.

2031131609 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2031131609 is a deficient number, since it is larger than the sum of its proper divisors (231667951).

2031131609 is a wasteful number, since it uses less digits than its factorization.

2031131609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387659.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 2031131609 is about 45068.0774939424. The cubic root of 2031131609 is about 1266.4246493833.

The spelling of 2031131609 in words is "two billion, thirty-one million, one hundred thirty-one thousand, six hundred nine".

Divisors: 1 13 29 377 5387617 70039021 156240893 2031131609