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1031210000 = 24541011021
BaseRepresentation
bin111101011101110…
…000010000010000
32122212101220011222
4331131300100100
54102442210000
6250154224212
734361066102
oct7535602020
92585356158
101031210000
1148a100377
12249425068
13135846b42
149ad53572
15607e8a85
hex3d770410

1031210000 has 100 divisors (see below), whose sum is σ = 2523851484. Its totient is φ = 408000000.

The previous prime is 1031209997. The next prime is 1031210027. The reversal of 1031210000 is 121301.

It can be written as a sum of positive squares in 10 ways, for example, as 463627024 + 567582976 = 21532^2 + 23824^2 .

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1031210000.

It is an unprimeable number.

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, 1009490 + ... + 1010510.

Almost surely, 21031210000 is an apocalyptic number.

1031210000 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 1031210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261925742).

1031210000 is an abundant number, since it is smaller than the sum of its proper divisors (1492641484).

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

1031210000 is a wasteful number, since it uses less digits than its factorization.

1031210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1031210000 is about 32112.4586414681. The cubic root of 1031210000 is about 1010.2969423926.

Adding to 1031210000 its reverse (121301), we get a palindrome (1031331301).

The spelling of 1031210000 in words is "one billion, thirty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1021 1250 1616 2000 2020 2042 2500 2525 4040 4084 5000 5050 5105 8080 8168 10000 10100 10210 12625 16336 20200 20420 25250 25525 40400 40840 50500 51050 63125 81680 101000 102100 103121 126250 127625 202000 204200 206242 252500 255250 408400 412484 505000 510500 515605 638125 824968 1010000 1021000 1031210 1276250 1649936 2042000 2062420 2552500 2578025 4124840 5105000 5156050 8249680 10210000 10312100 12890125 20624200 25780250 41248400 51560500 64450625 103121000 128901250 206242000 257802500 515605000 1031210000