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1006145001 = 32111793889
BaseRepresentation
bin111011111110001…
…000110111101001
32121010020110110200
4323332020313221
54030033120001
6243501102413
733635043231
oct7376106751
92533213420
101006145001
11476a406a4
12240b57a09
131305ac194
14978aacc1
155d4e7086
hex3bf88de9

1006145001 has 6 divisors (see below), whose sum is σ = 1453320570. Its totient is φ = 670763328.

The previous prime is 1006144987. The next prime is 1006145011. The reversal of 1006145001 is 1005416001.

1006145001 is a `hidden beast` number, since 1 + 0 + 0 + 614 + 50 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 799475625 + 206669376 = 28275^2 + 14376^2 .

It is not a de Polignac number, because 1006145001 - 217 = 1006013929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006145011) 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 5 ways as a sum of consecutive naturals, for example, 55896936 + ... + 55896953.

It is an arithmetic number, because the mean of its divisors is an integer number (242220095).

Almost surely, 21006145001 is an apocalyptic number.

It is an amenable number.

1006145001 is a deficient number, since it is larger than the sum of its proper divisors (447175569).

1006145001 is a wasteful number, since it uses less digits than its factorization.

1006145001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111793895 (or 111793892 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1006145001 is about 31719.7887918567. The cubic root of 1006145001 is about 1002.0441522610.

Subtracting from 1006145001 its reverse (1005416001), we obtain a cube (729000 = 903).

The spelling of 1006145001 in words is "one billion, six million, one hundred forty-five thousand, one".

Divisors: 1 3 9 111793889 335381667 1006145001