Search a number
-
+
213003003131023 = 7198437718980603
BaseRepresentation
bin110000011011100110100000…
…010101100111010010001111
31000221011212222112001110010211
4300123212200111213102033
5210404320122300143043
62033004121225343251
762602646661302230
oct6033464025472217
91027155875043124
10213003003131023
1161962080321906
121ba814aa937b27
1391b11351869b1
143a85586829087
151995a6c1d7a9d
hexc1b9a056748f

213003003131023 has 16 divisors (see below), whose sum is σ = 256247264689920. Its totient is φ = 172962785630016.

The previous prime is 213003003130991. The next prime is 213003003131063. The reversal of 213003003131023 is 320131300300312.

It is a cyclic number.

It is not a de Polignac number, because 213003003131023 - 25 = 213003003130991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213003003130985 and 213003003131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213003003131063) 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, 1731840 + ... + 20712442.

It is an arithmetic number, because the mean of its divisors is an integer number (16015454043120).

Almost surely, 2213003003131023 is an apocalyptic number.

213003003131023 is a deficient number, since it is larger than the sum of its proper divisors (43244261558897).

213003003131023 is a wasteful number, since it uses less digits than its factorization.

213003003131023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19065006.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213003003131023 its reverse (320131300300312), we get a palindrome (533134303431335).

The spelling of 213003003131023 in words is "two hundred thirteen trillion, three billion, three million, one hundred thirty-one thousand, twenty-three".

Divisors: 1 7 19 133 84377 590639 1603163 11222141 18980603 132864221 360631457 2524420199 1601526339331 11210684375317 30429000447289 213003003131023