Search a number
-
+
1002612130461 = 32111401347829
BaseRepresentation
bin11101001011100000101…
…01110000001010011101
310112211220202121101211200
432211300111300022131
5112411322201133321
62044332121310113
7132302443331514
oct16456025601235
93484822541750
101002612130461
113572294561a7
12142390935339
13737134c7c76
143675332567b
151b130c40d26
hexe97057029d

1002612130461 has 6 divisors (see below), whose sum is σ = 1448217521790. Its totient is φ = 668408086968.

The previous prime is 1002612130451. The next prime is 1002612130463. The reversal of 1002612130461 is 1640312162001.

It is a happy number.

1002612130461 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 612 + 1 + 3 + 0 + 46 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 908428203225 + 94183927236 = 953115^2 + 306894^2 .

It is not a de Polignac number, because 1002612130461 - 219 = 1002611606173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002612130463) 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 5 ways as a sum of consecutive naturals, for example, 55700673906 + ... + 55700673923.

It is an arithmetic number, because the mean of its divisors is an integer number (241369586965).

Almost surely, 21002612130461 is an apocalyptic number.

It is an amenable number.

1002612130461 is a deficient number, since it is larger than the sum of its proper divisors (445605391329).

1002612130461 is a wasteful number, since it uses less digits than its factorization.

1002612130461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111401347835 (or 111401347832 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1002612130461 its reverse (1640312162001), we get a palindrome (2642924292462).

The spelling of 1002612130461 in words is "one trillion, two billion, six hundred twelve million, one hundred thirty thousand, four hundred sixty-one".

Divisors: 1 3 9 111401347829 334204043487 1002612130461