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2031131310 = 2351319926171
BaseRepresentation
bin111100100010000…
…1001101010101110
312020112221011100120
41321010021222232
513124432200220
6533314105410
7101222221425
oct17104115256
95215834316
102031131310
1195258001a
1248827b266
13264a57260
14153a802bc
15bd4b1a40
hex79109aae

2031131310 has 64 divisors (see below), whose sum is σ = 5276275200. Its totient is φ = 497439360.

The previous prime is 2031131309. The next prime is 2031131327. The reversal of 2031131310 is 131311302.

It is a super-2 number, since 2×20311313102 = 8250988796924632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2031131310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64525 + ... + 90695.

It is an arithmetic number, because the mean of its divisors is an integer number (82441800).

Almost surely, 22031131310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638137600).

2031131310 is an abundant number, since it is smaller than the sum of its proper divisors (3245143890).

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

2031131310 is a wasteful number, since it uses less digits than its factorization.

2031131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26393.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2031131310 is about 45068.0741767385. The cubic root of 2031131310 is about 1266.4245872405.

Adding to 2031131310 its reverse (131311302), we get a palindrome (2162442612).

The spelling of 2031131310 in words is "two billion, thirty-one million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 390 398 597 995 1194 1990 2587 2985 5174 5970 7761 12935 15522 25870 26171 38805 52342 77610 78513 130855 157026 261710 340223 392565 680446 785130 1020669 1701115 2041338 3402230 5103345 5208029 10206690 10416058 15624087 26040145 31248174 52080290 67704377 78120435 135408754 156240870 203113131 338521885 406226262 677043770 1015565655 2031131310