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1201020000201 = 327211324100897
BaseRepresentation
bin10001011110100010010…
…111101101011111001001
311020211001011000111012200
4101132202113231133021
5124134142110001301
62315424014430413
7152525252363400
oct21364227553711
94224034014180
101201020000201
1142339353036a
12174923202409
1389342a08418
14421b5ba0637
152139451cc86
hex117a25ed7c9

1201020000201 has 36 divisors (see below), whose sum is σ = 2035899257652. Its totient is φ = 680223688704.

The previous prime is 1201020000199. The next prime is 1201020000203. The reversal of 1201020000201 is 1020000201021.

It is an interprime number because it is at equal distance from previous prime (1201020000199) and next prime (1201020000203).

It can be written as a sum of positive squares in 2 ways, for example, as 457672545225 + 743347454976 = 676515^2 + 862176^2 .

It is not a de Polignac number, because 1201020000201 - 21 = 1201020000199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1201020000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12000616 + ... + 12100281.

It is an arithmetic number, because the mean of its divisors is an integer number (56552757157).

Almost surely, 21201020000201 is an apocalyptic number.

It is an amenable number.

1201020000201 is a deficient number, since it is larger than the sum of its proper divisors (834879257451).

1201020000201 is a wasteful number, since it uses less digits than its factorization.

1201020000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24101030 (or 24101020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1201020000201 its reverse (1020000201021), we get a palindrome (2221020201222).

The spelling of 1201020000201 in words is "one trillion, two hundred one billion, twenty million, two hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 113 147 339 441 791 1017 2373 5537 7119 16611 49833 24100897 72302691 168706279 216908073 506118837 1180943953 1518356511 2723401361 3542831859 8170204083 10628495577 19063809527 24510612249 57191428581 133446666689 171574285743 400340000067 1201020000201