Search a number
-
+
3135100000 = 2555107293
BaseRepresentation
bin1011101011011101…
…1101010001100000
322002111020120200211
42322313131101200
522410041200000
61235032023504
7140455624144
oct27267352140
98074216624
103135100000
11136975603a
12735b31b94
133ac697476
1421a533224
1513537d7ba
hexbaddd460

3135100000 has 144 divisors (see below), whose sum is σ = 7813468656. Its totient is φ = 1238080000.

The previous prime is 3135099983. The next prime is 3135100009. The reversal of 3135100000 is 15313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10699854 + ... + 10700146.

It is an arithmetic number, because the mean of its divisors is an integer number (54260199).

Almost surely, 23135100000 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 3135100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906734328).

3135100000 is an abundant number, since it is smaller than the sum of its proper divisors (4678368656).

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

3135100000 is an equidigital number, since it uses as much as digits as its factorization.

3135100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 3135100000 is about 55991.9637090895. The cubic root of 3135100000 is about 1463.5822461587.

Adding to 3135100000 its reverse (15313), we get a palindrome (3135115313).

The spelling of 3135100000 in words is "three billion, one hundred thirty-five million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 125 160 200 214 250 293 400 428 500 535 586 625 800 856 1000 1070 1172 1250 1465 1712 2000 2140 2344 2500 2675 2930 3125 3424 4000 4280 4688 5000 5350 5860 6250 7325 8560 9376 10000 10700 11720 12500 13375 14650 17120 20000 21400 23440 25000 26750 29300 31351 36625 42800 46880 50000 53500 58600 62702 66875 73250 85600 100000 107000 117200 125404 133750 146500 156755 183125 214000 234400 250808 267500 293000 313510 334375 366250 428000 501616 535000 586000 627020 668750 732500 783775 915625 1003232 1070000 1172000 1254040 1337500 1465000 1567550 1831250 2140000 2508080 2675000 2930000 3135100 3662500 3918875 5016160 5350000 5860000 6270200 7325000 7837750 10700000 12540400 14650000 15675500 19594375 25080800 29300000 31351000 39188750 62702000 78377500 97971875 125404000 156755000 195943750 313510000 391887500 627020000 783775000 1567550000 3135100000