Search a number
-
+
1001210000 = 2454714303
BaseRepresentation
bin111011101011010…
…100000010010000
32120202221201220212
4323223110002100
54022302210000
6243203223252
733545100410
oct7353240220
92522851825
101001210000
1147417a98a
1223b377b28
1312c571b6b
1496d84640
155cd6ec35
hex3bad4090

1001210000 has 100 divisors (see below), whose sum is σ = 2770513152. Its totient is φ = 343248000.

The previous prime is 1001209969. The next prime is 1001210003. The reversal of 1001210000 is 121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1001210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62849 + ... + 77151.

Almost surely, 21001210000 is an apocalyptic number.

1001210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385256576).

1001210000 is an abundant number, since it is smaller than the sum of its proper divisors (1769303152).

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

1001210000 is an equidigital number, since it uses as much as digits as its factorization.

1001210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14338 (or 14317 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1001210000 is about 31641.9025976631. The cubic root of 1001210000 is about 1000.4031707648.

Adding to 1001210000 its reverse (121001), we get a palindrome (1001331001).

It can be divided in two parts, 100 and 1210000, that multiplied together give a square (121000000 = 110002).

The spelling of 1001210000 in words is "one billion, one million, two hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 14303 17500 28606 35000 57212 70000 71515 100121 114424 143030 200242 228848 286060 357575 400484 500605 572120 715150 800968 1001210 1144240 1430300 1601936 1787875 2002420 2503025 2860600 3575750 4004840 5006050 5721200 7151500 8009680 8939375 10012100 12515125 14303000 17878750 20024200 25030250 28606000 35757500 40048400 50060500 62575625 71515000 100121000 125151250 143030000 200242000 250302500 500605000 1001210000