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3122001001 = 773101241251
BaseRepresentation
bin1011101000010101…
…1111010001101001
322001120121002020201
42322011133101221
522343213013001
61233443152201
7140236366510
oct27205372151
98046532221
103122001001
111362319619
12731675661
133a9a5c192
142188c3677
15134142501
hexba15f469

3122001001 has 32 divisors (see below), whose sum is σ = 3682457856. Its totient is φ = 2592000000.

The previous prime is 3122000993. The next prime is 3122001011. The reversal of 3122001001 is 1001002213.

It is a 4-Lehmer number, since φ(3122001001) divides (3122001001-1)4.

It is a cyclic number.

It is not a de Polignac number, because 3122001001 - 23 = 3122000993 is a prime.

It is a deceptive number, since it divides R3122001000.

It is not an unprimeable number, because it can be changed into a prime (3122001011) 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 31 ways as a sum of consecutive naturals, for example, 12438126 + ... + 12438376.

It is an arithmetic number, because the mean of its divisors is an integer number (115076808).

It is a Poulet number, since it divides 23122001000-1.

Almost surely, 23122001001 is an apocalyptic number.

It is an amenable number.

3122001001 is a deficient number, since it is larger than the sum of its proper divisors (560456855).

3122001001 is a wasteful number, since it uses less digits than its factorization.

3122001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3122001001 is about 55874.8691363121. The cubic root of 3122001001 is about 1461.5410326822.

Adding to 3122001001 its reverse (1001002213), we get a palindrome (4123003214).

The spelling of 3122001001 in words is "three billion, one hundred twenty-two million, one thousand, one".

Divisors: 1 7 73 101 241 251 511 707 1687 1757 7373 17593 18323 24341 25351 51611 60491 123151 128261 170387 177457 423437 1776893 1850623 4415843 6109591 12438251 12954361 30910901 42767137 446000143 3122001001