Search a number
-
+
1130211013122 = 23262789500729
BaseRepresentation
bin10000011100100101110…
…100110111001000000010
311000001021100102020200200
4100130211310313020002
5122004133004404442
62223113424230030
7144440453050002
oct20344564671002
94001240366620
101130211013122
113a635771a334
1216306146b316
1382769ab23b9
143c9b9960002
151e5ecdac34c
hex10725d37202

1130211013122 has 12 divisors (see below), whose sum is σ = 2448790528470. Its totient is φ = 376737004368.

The previous prime is 1130211013117. The next prime is 1130211013123. The reversal of 1130211013122 is 2213101120311.

It can be written as a sum of positive squares in only one way, i.e., 1006392182481 + 123818830641 = 1003191^2 + 351879^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 62789500729 = 1130211013122 / (1 + 1 + 3 + 0 + 2 + 1 + 1 + 0 + 1 + 3 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1130211013095 and 1130211013104.

It is not an unprimeable number, because it can be changed into a prime (1130211013123) 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 5 ways as a sum of consecutive naturals, for example, 31394750347 + ... + 31394750382.

Almost surely, 21130211013122 is an apocalyptic number.

1130211013122 is an abundant number, since it is smaller than the sum of its proper divisors (1318579515348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1130211013122 is a wasteful number, since it uses less digits than its factorization.

1130211013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62789500737 (or 62789500734 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1130211013122 its reverse (2213101120311), we get a palindrome (3343312133433).

The spelling of 1130211013122 in words is "one trillion, one hundred thirty billion, two hundred eleven million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 62789500729 125579001458 188368502187 376737004374 565105506561 1130211013122