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1004210412101 = 13193400243289
BaseRepresentation
bin11101001110011111001…
…10101101101001000101
310120000001011001112001222
432213033212231221011
5112423110331141401
62045154454130125
7132360161443661
oct16471746555105
93500034045058
101004210412101
11357979663916
12142758050945
137390967b850
14368656cd8a1
151b1c6200c1b
hexe9cf9ada45

1004210412101 has 8 divisors (see below), whose sum is σ = 1087060775640. Its totient is φ = 922160535552.

The previous prime is 1004210412083. The next prime is 1004210412109. The reversal of 1004210412101 is 1012140124001.

It can be written as a sum of positive squares in 4 ways, for example, as 185545562500 + 818664849601 = 430750^2 + 904801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004210412101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004210412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004210412109) 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 7 ways as a sum of consecutive naturals, for example, 200119136 + ... + 200124153.

It is an arithmetic number, because the mean of its divisors is an integer number (135882596955).

Almost surely, 21004210412101 is an apocalyptic number.

It is an amenable number.

1004210412101 is a deficient number, since it is larger than the sum of its proper divisors (82850363539).

1004210412101 is a wasteful number, since it uses less digits than its factorization.

1004210412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400243495.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1004210412101 its reverse (1012140124001), we get a palindrome (2016350536102).

The spelling of 1004210412101 in words is "one trillion, four billion, two hundred ten million, four hundred twelve thousand, one hundred one".

Divisors: 1 13 193 2509 400243289 5203162757 77246954777 1004210412101