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2120321000001 = 33795239200569
BaseRepresentation
bin11110110110101100111…
…110101110001001000001
321111200220211000221200110
4132312230332232021001
5234214404134000001
64302021221341533
7306121350062361
oct36665476561101
97450824027613
102120321000001
1174824aa22a66
122a2b232678a9
13124c3a0bcb69
14748a46b49a1
153a24b23e3d6
hex1edacfae241

2120321000001 has 16 divisors (see below), whose sum is σ = 2903547593600. Its totient is φ = 1375322053248.

The previous prime is 2120320999939. The next prime is 2120321000009. The reversal of 2120321000001 is 1000001230212.

It is not a de Polignac number, because 2120321000001 - 210 = 2120320998977 is a prime.

It is a super-3 number, since 3×21203210000013 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120321000009) 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 15 ways as a sum of consecutive naturals, for example, 10471245 + ... + 10671813.

It is an arithmetic number, because the mean of its divisors is an integer number (181471724600).

Almost surely, 22120321000001 is an apocalyptic number.

It is an amenable number.

2120321000001 is a deficient number, since it is larger than the sum of its proper divisors (783226593599).

2120321000001 is a wasteful number, since it uses less digits than its factorization.

2120321000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295848.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2120321000001 its reverse (1000001230212), we get a palindrome (3120322230213).

The spelling of 2120321000001 in words is "two trillion, one hundred twenty billion, three hundred twenty-one million, one", and thus it is an aban number.

Divisors: 1 3 37 111 95239 200569 285717 601707 3523843 7421053 10571529 22263159 19101990991 57305972973 706773666667 2120321000001