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1002007101 = 32937311279
BaseRepresentation
bin111011101110010…
…110101000111101
32120211110020100010
4323232112220331
54023003211401
6243232253433
733554630334
oct7356265075
92524406303
101002007101
11474674847
1223b6a1279
1312c790914
1497110d1b
155ce7aed6
hex3bb96a3d

1002007101 has 16 divisors (see below), whose sum is σ = 1419436800. Its totient is φ = 627536448.

The previous prime is 1002007099. The next prime is 1002007103. The reversal of 1002007101 is 1017002001.

It is an interprime number because it is at equal distance from previous prime (1002007099) and next prime (1002007103).

It is not a de Polignac number, because 1002007101 - 21 = 1002007099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002007103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152421 + ... + 158858.

It is an arithmetic number, because the mean of its divisors is an integer number (88714800).

Almost surely, 21002007101 is an apocalyptic number.

It is an amenable number.

1002007101 is a deficient number, since it is larger than the sum of its proper divisors (417429699).

1002007101 is a wasteful number, since it uses less digits than its factorization.

1002007101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311348.

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 1002007101 is about 31654.4957470499. The cubic root of 1002007101 is about 1000.6685865591.

Adding to 1002007101 its reverse (1017002001), we get a palindrome (2019009102).

The spelling of 1002007101 in words is "one billion, two million, seven thousand, one hundred one".

Divisors: 1 3 29 37 87 111 1073 3219 311279 933837 9027091 11517323 27081273 34551969 334002367 1002007101