Search a number
-
+
1202478397133 = 132571587722669
BaseRepresentation
bin10001011111111001010…
…011000011011011001101
311020221210210020201200212
4101133321103003123031
5124200133432202013
62320224433132205
7152606351505446
oct21377123033315
94227723221625
101202478397133
11423a71785592
1217506b6ba065
1389515bc22a0
14422b37542cd
152142c59a6a8
hex117f94c36cd

1202478397133 has 16 divisors (see below), whose sum is σ = 1300154787120. Its totient is φ = 1105542660096.

The previous prime is 1202478397123. The next prime is 1202478397201. The reversal of 1202478397133 is 3317938742021.

It can be written as a sum of positive squares in 8 ways, for example, as 649993913284 + 552484483849 = 806222^2 + 743293^2 .

It is a cyclic number.

It is not a de Polignac number, because 1202478397133 - 212 = 1202478393037 is a prime.

It is a super-3 number, since 3×12024783971333 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202478397123) 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 15 ways as a sum of consecutive naturals, for example, 53033723 + ... + 53056391.

It is an arithmetic number, because the mean of its divisors is an integer number (81259674195).

Almost surely, 21202478397133 is an apocalyptic number.

1202478397133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1202478397133 is a deficient number, since it is larger than the sum of its proper divisors (97676389987).

1202478397133 is a wasteful number, since it uses less digits than its factorization.

1202478397133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38816.

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 1202478397133 in words is "one trillion, two hundred two billion, four hundred seventy-eight million, three hundred ninety-seven thousand, one hundred thirty-three".

Divisors: 1 13 257 3341 15877 22669 206401 294697 4080389 5825933 53045057 75737129 359915713 4678904269 92498338241 1202478397133