Search a number
-
+
1129312161481 = 721518132
BaseRepresentation
bin10000011011110000010…
…000000000111011001001
310222221221201001212001011
4100123300100000323021
5122000312403131411
62222444314523521
7144406256663200
oct20336020007311
93887851055034
101129312161481
113a5a36301839
12162a504365a1
13826557cb61a
143c932422237
151e59900ac21
hex106f0400ec9

1129312161481 has 9 divisors (see below), whose sum is σ = 1313698310631. Its totient is φ = 967975476552.

The previous prime is 1129312161473. The next prime is 1129312161493. The reversal of 1129312161481 is 1841612139211.

The square root of 1129312161481 is 1062691.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 371911225 + 1128940250256 = 19285^2 + 1062516^2 .

It is not a de Polignac number, because 1129312161481 - 23 = 1129312161473 is a prime.

It is a super-2 number, since 2×11293121614812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1129312161421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7362931 + ... + 7514743.

It is an arithmetic number, because the mean of its divisors is an integer number (145966478959).

Almost surely, 21129312161481 is an apocalyptic number.

1129312161481 is the 1062691-st square number.

1129312161481 is the 531346-th centered octagonal number.

It is an amenable number.

1129312161481 is a deficient number, since it is larger than the sum of its proper divisors (184386149150).

1129312161481 is an frugal number, since it uses more digits than its factorization.

1129312161481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303640 (or 151820 counting only the distinct ones).

The product of its digits is 20736, while the sum is 40.

The spelling of 1129312161481 in words is "one trillion, one hundred twenty-nine billion, three hundred twelve million, one hundred sixty-one thousand, four hundred eighty-one".

Divisors: 1 7 49 151813 1062691 7438837 23047186969 161330308783 1129312161481