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3131300000 = 2555173181
BaseRepresentation
bin1011101010100011…
…1101100010100000
322002020002112002002
42322220331202200
522403103100000
61234414343132
7140411416343
oct27250754240
98066075062
103131300000
1113675a0044
127347baaa8
133ab96694a
14219c2445a
15134d7c8d5
hexbaa3d8a0

3131300000 has 144 divisors (see below), whose sum is σ = 7792798104. Its totient is φ = 1238400000.

The previous prime is 3131299999. The next prime is 3131300041. The reversal of 3131300000 is 31313.

It can be written as a sum of positive squares in 12 ways, for example, as 1759634704 + 1371665296 = 41948^2 + 37036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17299910 + ... + 17300090.

Almost surely, 23131300000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896399052).

3131300000 is an abundant number, since it is smaller than the sum of its proper divisors (4661498104).

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

3131300000 is an equidigital number, since it uses as much as digits as its factorization.

3131300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 3131300000 is about 55958.0199792666. The cubic root of 3131300000 is about 1462.9906795851.

Adding to 3131300000 its reverse (31313), we get a palindrome (3131331313).

3131300000 divided by its reverse (31313) gives a 5-th power (100000 = 105).

The spelling of 3131300000 in words is "three billion, one hundred thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 181 200 250 346 362 400 500 625 692 724 800 865 905 1000 1250 1384 1448 1730 1810 2000 2500 2768 2896 3125 3460 3620 4000 4325 4525 5000 5536 5792 6250 6920 7240 8650 9050 10000 12500 13840 14480 17300 18100 20000 21625 22625 25000 27680 28960 31313 34600 36200 43250 45250 50000 62626 69200 72400 86500 90500 100000 108125 113125 125252 138400 144800 156565 173000 181000 216250 226250 250504 313130 346000 362000 432500 452500 501008 540625 565625 626260 692000 724000 782825 865000 905000 1002016 1081250 1131250 1252520 1565650 1730000 1810000 2162500 2262500 2505040 3131300 3460000 3620000 3914125 4325000 4525000 5010080 6262600 7828250 8650000 9050000 12525200 15656500 17300000 18100000 19570625 25050400 31313000 39141250 62626000 78282500 97853125 125252000 156565000 195706250 313130000 391412500 626260000 782825000 1565650000 3131300000