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301531000401 = 3271094712821
BaseRepresentation
bin1000110001101001010…
…01011110111001010001
31001211022012202220110200
410120310221132321101
514420013414003101
6350304343445413
730533135133351
oct4306451367121
91054265686420
10301531000401
11106973430594
124a532156869
13225850862c7
14108465d4b61
157c9bccd986
hex4634a5ee51

301531000401 has 12 divisors (see below), whose sum is σ = 435606137460. Its totient is φ = 200992347360.

The previous prime is 301531000399. The next prime is 301531000471. The reversal of 301531000401 is 104000135103.

It can be written as a sum of positive squares in 2 ways, for example, as 65576966400 + 235954034001 = 256080^2 + 485751^2 .

It is not a de Polignac number, because 301531000401 - 21 = 301531000399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (301531000471) 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 11 ways as a sum of consecutive naturals, for example, 2292430 + ... + 2420391.

It is an arithmetic number, because the mean of its divisors is an integer number (36300511455).

Almost surely, 2301531000401 is an apocalyptic number.

It is an amenable number.

301531000401 is a deficient number, since it is larger than the sum of its proper divisors (134075137059).

301531000401 is a wasteful number, since it uses less digits than its factorization.

301531000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719936 (or 4719933 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 301531000401 its reverse (104000135103), we get a palindrome (405531135504).

The spelling of 301531000401 in words is "three hundred one billion, five hundred thirty-one million, four hundred one", and thus it is an aban number.

Divisors: 1 3 9 7109 21327 63981 4712821 14138463 42415389 33503444489 100510333467 301531000401