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130005552001 = 1329344842313
BaseRepresentation
bin111100100010011101…
…1110100101110000001
3110102120022101022112111
41321010323310232001
54112222410131001
6135420154055321
712251441646643
oct1710473645601
9412508338474
10130005552001
1150153821466
122124271a541
13c34b099940
146414112893
1535ad5ad851
hex1e44ef4b81

130005552001 has 8 divisors (see below), whose sum is σ = 144833771880. Its totient is φ = 115867016832.

The previous prime is 130005551993. The next prime is 130005552007. The reversal of 130005552001 is 100255500031.

It can be written as a sum of positive squares in 4 ways, for example, as 10583471376 + 119422080625 = 102876^2 + 345575^2 .

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 130005552001 - 23 = 130005551993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130005552007) 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 7 ways as a sum of consecutive naturals, for example, 172420780 + ... + 172421533.

It is an arithmetic number, because the mean of its divisors is an integer number (18104221485).

Almost surely, 2130005552001 is an apocalyptic number.

It is an amenable number.

130005552001 is a deficient number, since it is larger than the sum of its proper divisors (14828219879).

130005552001 is a wasteful number, since it uses less digits than its factorization.

130005552001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344842355.

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 130005552001 in words is "one hundred thirty billion, five million, five hundred fifty-two thousand, one".

Divisors: 1 13 29 377 344842313 4482950069 10000427077 130005552001