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1001130033001 = 72292719229693
BaseRepresentation
bin11101001000101111111…
…11111111111101101001
310112201002110210001100011
432210113333333331221
5112400303242024001
62043525055011521
7132220635605620
oct16442777777551
93481073701304
101001130033001
1135663889346a
12142038509ba1
1373538433517
14366525626b7
151b095a80d51
hexe917ffff69

1001130033001 has 16 divisors (see below), whose sum is σ = 1149572531200. Its totient is φ = 854046307008.

The previous prime is 1001130032957. The next prime is 1001130033023. The reversal of 1001130033001 is 1003300311001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001130033001 - 229 = 1000593162089 is a prime.

It is a super-2 number, since 2×10011300330012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001130033061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4243711 + ... + 4473403.

It is an arithmetic number, because the mean of its divisors is an integer number (71848283200).

Almost surely, 21001130033001 is an apocalyptic number.

It is an amenable number.

1001130033001 is a deficient number, since it is larger than the sum of its proper divisors (148442498199).

1001130033001 is a wasteful number, since it uses less digits than its factorization.

1001130033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232648.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1001130033001 its reverse (1003300311001), we get a palindrome (2004430344002).

The spelling of 1001130033001 in words is "one trillion, one billion, one hundred thirty million, thirty-three thousand, one".

Divisors: 1 7 229 1603 2719 19033 229693 622651 1607851 4358557 52599697 368197879 624535267 4371746869 143018576143 1001130033001