Search a number
-
+
1332310101021 = 32178707909157
BaseRepresentation
bin10011011000110011110…
…111101100110000011101
311201100220222111122110100
4103120303313230300131
5133312032341213041
62500015501131313
7165153613001544
oct23306367546035
94640828448410
101332310101021
11474036356319
12196263b59b39
1398836c60203
14486ac73115b
15249ca7686b6
hex13633decc1d

1332310101021 has 12 divisors (see below), whose sum is σ = 2037650742972. Its totient is φ = 835959278976.

The previous prime is 1332310101011. The next prime is 1332310101041. The reversal of 1332310101021 is 1201010132331.

1332310101021 is a `hidden beast` number, since 1 + 332 + 310 + 1 + 0 + 1 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 375315516900 + 956994584121 = 612630^2 + 978261^2 .

It is a de Polignac number, because none of the positive numbers 2k-1332310101021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1332310100985 and 1332310101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332310101011) 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 11 ways as a sum of consecutive naturals, for example, 4353954426 + ... + 4353954731.

It is an arithmetic number, because the mean of its divisors is an integer number (169804228581).

Almost surely, 21332310101021 is an apocalyptic number.

It is an amenable number.

1332310101021 is a deficient number, since it is larger than the sum of its proper divisors (705340641951).

1332310101021 is a wasteful number, since it uses less digits than its factorization.

1332310101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707909180 (or 8707909177 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1332310101021 its reverse (1201010132331), we get a palindrome (2533320233352).

The spelling of 1332310101021 in words is "one trillion, three hundred thirty-two billion, three hundred ten million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 17 51 153 8707909157 26123727471 78371182413 148034455669 444103367007 1332310101021