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1300031331201 = 3489180334489
BaseRepresentation
bin10010111010101111111…
…001111101101110000001
311121021121102022020120000
4102322233321331232001
5132244431010044301
62433120503110213
7162631662663111
oct22725771755601
94537542266500
101300031331201
11461381881849
1218bb55a42369
1395791747305
1446cc97c3041
1523c3ba63786
hex12eafe7db81

1300031331201 has 20 divisors (see below), whose sum is σ = 1963842596100. Its totient is φ = 856949486976.

The previous prime is 1300031331191. The next prime is 1300031331307. The reversal of 1300031331201 is 1021331300031.

It is a happy number.

1300031331201 is a `hidden beast` number, since 1 + 300 + 0 + 31 + 331 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163376831601 + 1136654499600 = 404199^2 + 1066140^2 .

It is not a de Polignac number, because 1300031331201 - 214 = 1300031314817 is a prime.

It is a super-2 number, since 2×13000313312012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1300031330201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90160036 + ... + 90174453.

It is an arithmetic number, because the mean of its divisors is an integer number (98192129805).

Almost surely, 21300031331201 is an apocalyptic number.

It is an amenable number.

1300031331201 is a deficient number, since it is larger than the sum of its proper divisors (663811264899).

1300031331201 is an equidigital number, since it uses as much as digits as its factorization.

1300031331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180334590 (or 180334581 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1300031331201 its reverse (1021331300031), we get a palindrome (2321362631232).

The spelling of 1300031331201 in words is "one trillion, three hundred billion, thirty-one million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 180334489 541003467 1623010401 4869031203 14607093609 16049769521 48149308563 144447925689 433343777067 1300031331201