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1007020153 = 10919347869
BaseRepresentation
bin111100000001011…
…110100001111001
32121011212220221201
4330001132201321
54030244121103
6243531534201
733645346546
oct7401364171
92534786851
101007020153
11477489167
122412ba361
13130827619
1497a57bcd
155d61b51d
hex3c05e879

1007020153 has 8 divisors (see below), whose sum is σ = 1021545800. Its totient is φ = 992590848.

The previous prime is 1007020141. The next prime is 1007020163. The reversal of 1007020153 is 3510207001.

1007020153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 249229369 + 757790784 = 15787^2 + 27528^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007020153 - 213 = 1007011961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1007020153.

It is not an unprimeable number, because it can be changed into a prime (1007020123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2898 + ... + 44971.

It is an arithmetic number, because the mean of its divisors is an integer number (127693225).

Almost surely, 21007020153 is an apocalyptic number.

It is an amenable number.

1007020153 is a deficient number, since it is larger than the sum of its proper divisors (14525647).

1007020153 is a wasteful number, since it uses less digits than its factorization.

1007020153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48171.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1007020153 is about 31733.5808411216. The cubic root of 1007020153 is about 1002.3345964181.

Adding to 1007020153 its reverse (3510207001), we get a palindrome (4517227154).

The spelling of 1007020153 in words is "one billion, seven million, twenty thousand, one hundred fifty-three".

Divisors: 1 109 193 21037 47869 5217721 9238717 1007020153