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1320002010 = 2325193137673
BaseRepresentation
bin100111010101101…
…1010000111011010
310101222211001100100
41032223122013122
510200410031020
6334552120230
744465555235
oct11653320732
93358731310
101320002010
1161811a058
1230a096076
1318061c2a2
14c744a41c
157ad41a90
hex4eada1da

1320002010 has 192 divisors, whose sum is σ = 3835653120. Its totient is φ = 313528320.

The previous prime is 1320001951. The next prime is 1320002023. The reversal of 1320002010 is 102000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1320001983 and 1320002001.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1961034 + ... + 1961706.

It is an arithmetic number, because the mean of its divisors is an integer number (19977360).

Almost surely, 21320002010 is an apocalyptic number.

1320002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917826560).

1320002010 is an abundant number, since it is smaller than the sum of its proper divisors (2515651110).

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

1320002010 is a wasteful number, since it uses less digits than its factorization.

1320002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1320002010 is about 36331.8319108740. The cubic root of 1320002010 is about 1096.9618672772.

Adding to 1320002010 its reverse (102000231), we get a palindrome (1422002241).

The spelling of 1320002010 in words is "one billion, three hundred twenty million, two thousand, ten".