Search a number
-
+
301135552001 = 1923412409933
BaseRepresentation
bin1000110000111010001…
…00111101111000000001
31001210021122200001020122
410120131010331320001
514413211200131001
6350201215550025
730520263646514
oct4303504757001
91053248601218
10301135552001
11106790194329
124a44182b315
132252117967b
1410809c96d7b
157c77218b1b
hex461d13de01

301135552001 has 24 divisors (see below), whose sum is σ = 339031815360. Its totient is φ = 266226238080.

The previous prime is 301135551989. The next prime is 301135552009. The reversal of 301135552001 is 100255531103.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-301135552001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (301135552009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529631 + ... + 939563.

It is an arithmetic number, because the mean of its divisors is an integer number (14126325640).

Almost surely, 2301135552001 is an apocalyptic number.

It is an amenable number.

301135552001 is a deficient number, since it is larger than the sum of its proper divisors (37896263359).

301135552001 is a wasteful number, since it uses less digits than its factorization.

301135552001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410057 (or 410016 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 301135552001 in words is "three hundred one billion, one hundred thirty-five million, five hundred fifty-two thousand, one".

Divisors: 1 19 23 41 437 779 943 1681 17917 31939 38663 409933 734597 7788727 9428459 16807253 179140721 319337807 386566819 689097373 7344769561 13092850087 15849239579 301135552001