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212260114050 = 235219268927697
BaseRepresentation
bin1100010110101110110…
…0000100111010000010
3202021212202212000020120
43011223230010322002
511434202042122200
6241302210521110
721223001125515
oct3055354047202
9667782760216
10212260114050
1182023334366
1235179596196
1317029327b2a
14a3b848cd7c
1557c49759a0
hex316bb04e82

212260114050 has 96 divisors (see below), whose sum is σ = 554336692800. Its totient is φ = 53601730560.

The previous prime is 212260114039. The next prime is 212260114111. The reversal of 212260114050 is 50411062212.

It is a self number, because there is not a number n which added to its sum of digits gives 212260114050.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7649802 + ... + 7677498.

It is an arithmetic number, because the mean of its divisors is an integer number (5774340550).

Almost surely, 2212260114050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212260114050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277168346400).

212260114050 is an abundant number, since it is smaller than the sum of its proper divisors (342076578750).

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

212260114050 is a wasteful number, since it uses less digits than its factorization.

212260114050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30420 (or 30415 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 212260114050 its reverse (50411062212), we get a palindrome (262671176262).

The spelling of 212260114050 in words is "two hundred twelve billion, two hundred sixty million, one hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2689 2850 5378 8067 13445 16134 26890 27697 40335 51091 55394 67225 80670 83091 102182 134450 138485 153273 166182 201675 255455 276970 306546 403350 415455 510910 526243 692425 766365 830910 1052486 1277275 1384850 1532730 1578729 2077275 2554550 2631215 3157458 3831825 4154550 5262430 7663650 7893645 13156075 15787290 26312150 39468225 74477233 78936450 148954466 223431699 372386165 446863398 744772330 1117158495 1415067427 1861930825 2234316990 2830134854 3723861650 4245202281 5585792475 7075337135 8490404562 11171584950 14150674270 21226011405 35376685675 42452022810 70753371350 106130057025 212260114050