Search a number
-
+
1330213031001 = 321779710908661
BaseRepresentation
bin10011010110110110111…
…000000000110001011001
311201011111211111110012100
4103112312320000301121
5133243234013443001
62455031425434013
7165050630130021
oct23266670006131
94634454443170
101330213031001
1147315a6395a8
1219597979b909
1398591659b8a
1448550008a81
15249065ce586
hex135b6e00c59

1330213031001 has 24 divisors (see below), whose sum is σ = 2036996272584. Its totient is φ = 833596162560.

The previous prime is 1330213030999. The next prime is 1330213031003. The reversal of 1330213031001 is 1001303120331.

It is a happy number.

1330213031001 is a `hidden beast` number, since 1 + 330 + 21 + 3 + 0 + 310 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1330213030999) and next prime (1330213031003).

It can be written as a sum of positive squares in 4 ways, for example, as 371732870601 + 958480160400 = 609699^2 + 979020^2 .

It is not a de Polignac number, because 1330213031001 - 21 = 1330213030999 is a prime.

It is a super-3 number, since 3×13302130310013 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330213031003) 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 23 ways as a sum of consecutive naturals, for example, 5332390 + ... + 5576271.

It is an arithmetic number, because the mean of its divisors is an integer number (84874844691).

Almost surely, 21330213031001 is an apocalyptic number.

It is an amenable number.

1330213031001 is a deficient number, since it is larger than the sum of its proper divisors (706783241583).

1330213031001 is a wasteful number, since it uses less digits than its factorization.

1330213031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909481 (or 10909478 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1330213031001 its reverse (1001303120331), we get a palindrome (2331516151332).

The spelling of 1330213031001 in words is "one trillion, three hundred thirty billion, two hundred thirteen million, thirty-one thousand, one".

Divisors: 1 3 9 17 51 153 797 2391 7173 13549 40647 121941 10908661 32725983 98177949 185447237 556341711 1669025133 8694202817 26082608451 78247825353 147801447889 443404343667 1330213031001