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213030030132 = 22342922672417
BaseRepresentation
bin1100011001100110010…
…1000100101100110100
3202100212102120210120000
43012121211010230310
511442241141431012
6241510432511300
721251040244023
oct3063145045464
9670772523500
10213030030132
1182388997747
12353533ab530
131711c9a678a
14a44c8268ba
15581c358ddc
hex3199944b34

213030030132 has 60 divisors (see below), whose sum is σ = 576106141380. Its totient is φ = 68561385984.

The previous prime is 213030030107. The next prime is 213030030133. The reversal of 213030030132 is 231030030312.

213030030132 is a `hidden beast` number, since 2 + 1 + 30 + 300 + 301 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178670217636 + 34359812496 = 422694^2 + 185364^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213030030133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11326813 + ... + 11345604.

It is an arithmetic number, because the mean of its divisors is an integer number (9601769023).

Almost surely, 2213030030132 is an apocalyptic number.

It is an amenable number.

213030030132 is an abundant number, since it is smaller than the sum of its proper divisors (363076111248).

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

213030030132 is a wasteful number, since it uses less digits than its factorization.

213030030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22672462 (or 22672451 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213030030132 its reverse (231030030312), we get a palindrome (444060060444).

The spelling of 213030030132 in words is "two hundred thirteen billion, thirty million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 22672417 45344834 68017251 90689668 136034502 204051753 272069004 408103506 612155259 657500093 816207012 1224310518 1315000186 1836465777 1972500279 2448621036 2630000372 3672931554 3945000558 5917500837 7345863108 7890001116 11835001674 17752502511 23670003348 35505005022 53257507533 71010010044 106515015066 213030030132