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1001066156001 = 32799313915873
BaseRepresentation
bin11101001000101000011…
…00010100111111100001
310112200221000120202120100
432210110030110333201
5112400140413443001
62043514453533013
7132216231633402
oct16442414247741
93480830522510
101001066156001
1135660582475a
1214201b044169
1373528129992
1436647c959a9
151b090164586
hexe914314fe1

1001066156001 has 12 divisors (see below), whose sum is σ = 1446165457828. Its totient is φ = 667293894144.

The previous prime is 1001066155981. The next prime is 1001066156011. The reversal of 1001066156001 is 1006516601001.

It can be written as a sum of positive squares in 2 ways, for example, as 231149408400 + 769916747601 = 480780^2 + 877449^2 .

It is not a de Polignac number, because 1001066156001 - 26 = 1001066155937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001066156011) 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 11 ways as a sum of consecutive naturals, for example, 6886000 + ... + 7029873.

Almost surely, 21001066156001 is an apocalyptic number.

It is an amenable number.

1001066156001 is a deficient number, since it is larger than the sum of its proper divisors (445099301827).

1001066156001 is a wasteful number, since it uses less digits than its factorization.

1001066156001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923872 (or 13923869 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1001066156001 in words is "one trillion, one billion, sixty-six million, one hundred fifty-six thousand, one".

Divisors: 1 3 9 7993 23979 71937 13915873 41747619 125242857 111229572889 333688718667 1001066156001