Search a number
-
+
213120200120 = 235171401122369
BaseRepresentation
bin1100011001111011110…
…1000010110110111000
3202101002201020220112012
43012132331002312320
511442432232400440
6241523413305052
721253213545212
oct3063675026670
9671081226465
10213120200120
11824248847a3
1235379635188
1317135587bb9
14a45a7b95b2
15582521ae65
hex319ef42db8

213120200120 has 64 divisors (see below), whose sum is σ = 507786472800. Its totient is φ = 80224174080.

The previous prime is 213120200107. The next prime is 213120200129. The reversal of 213120200120 is 21002021312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213120200095 and 213120200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120200129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9516296 + ... + 9538664.

Almost surely, 2213120200120 is an apocalyptic number.

213120200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120200120 is an abundant number, since it is smaller than the sum of its proper divisors (294666272680).

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

213120200120 is a wasteful number, since it uses less digits than its factorization.

213120200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36408 (or 36404 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213120200120 its reverse (21002021312), we get a palindrome (234122221432).

The spelling of 213120200120 in words is "two hundred thirteen billion, one hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 14011 22369 28022 44738 56044 70055 89476 111845 112088 140110 178952 223690 238187 280220 380273 447380 476374 560440 760546 894760 952748 1190935 1521092 1901365 1905496 2381870 3042184 3802730 4763740 7605460 9527480 15210920 313412059 626824118 1253648236 1567060295 2507296472 3134120590 5328005003 6268241180 10656010006 12536482360 21312020012 26640025015 42624040024 53280050030 106560100060 213120200120