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213444132422130 = 23252371601471357
BaseRepresentation
bin110000100010000001010101…
…101100010100000111110010
31000222202001121120122021210200
4300202001111230110013302
5210434032040400002010
62033542514125140030
762646554402354031
oct6042012554240762
91028661546567720
10213444132422130
116201216a303385
121bb32aa00ba616
13921390681267c
143a9ca73160718
1519a22897d7cc0
hexc22055b141f2

213444132422130 has 24 divisors (see below), whose sum is σ = 554954744297772. Its totient is φ = 56918435312544.

The previous prime is 213444132422069. The next prime is 213444132422137. The reversal of 213444132422130 is 31224231444312.

213444132422130 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 413 + 24 + 2 + 213 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213355421969481 + 88710452649 = 14606691^2 + 297843^2 .

It is not an unprimeable number, because it can be changed into a prime (213444132422137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185800735589 + ... + 1185800735768.

Almost surely, 2213444132422130 is an apocalyptic number.

213444132422130 is an abundant number, since it is smaller than the sum of its proper divisors (341510611875642).

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

213444132422130 is a wasteful number, since it uses less digits than its factorization.

213444132422130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371601471370 (or 2371601471367 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 213444132422130 its reverse (31224231444312), we get a palindrome (244668363866442).

The spelling of 213444132422130 in words is "two hundred thirteen trillion, four hundred forty-four billion, one hundred thirty-two million, four hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2371601471357 4743202942714 7114804414071 11858007356785 14229608828142 21344413242213 23716014713570 35574022070355 42688826484426 71148044140710 106722066211065 213444132422130