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213134234120 = 23561771912011
BaseRepresentation
bin1100011001111111001…
…0100101001000001000
3202101010200122220112222
43012133302211020020
511442444330442440
6241525034153212
721253444045523
oct3063762451010
9671120586488
10213134234120
118243179a745
1235382282808
131713845c942
14a45c5cdbba
15582658e2b5
hex319fca5208

213134234120 has 64 divisors (see below), whose sum is σ = 481037356800. Its totient is φ = 84990062080.

The previous prime is 213134234107. The next prime is 213134234129. The reversal of 213134234120 is 21432431312.

It is a self number, because there is not a number n which added to its sum of digits gives 213134234120.

It is not an unprimeable number, because it can be changed into a prime (213134234129) 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 15 ways as a sum of consecutive naturals, for example, 17738915 + ... + 17750925.

It is an arithmetic number, because the mean of its divisors is an integer number (7516208700).

Almost surely, 2213134234120 is an apocalyptic number.

213134234120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213134234120 is an abundant number, since it is smaller than the sum of its proper divisors (267903122680).

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

213134234120 is a wasteful number, since it uses less digits than its factorization.

213134234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13358 (or 13354 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 213134234120 its reverse (21432431312), we get a palindrome (234566665432).

The spelling of 213134234120 in words is "two hundred thirteen billion, one hundred thirty-four million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 617 719 1234 1438 2468 2876 3085 3595 4936 5752 6170 7190 12011 12340 14380 24022 24680 28760 48044 60055 96088 120110 240220 443623 480440 887246 1774492 2218115 3548984 4436230 7410787 8635909 8872460 14821574 17271818 17744920 29643148 34543636 37053935 43179545 59286296 69087272 74107870 86359090 148215740 172718180 296431480 345436360 5328355853 10656711706 21313423412 26641779265 42626846824 53283558530 106567117060 213134234120