Search a number
-
+
211201121211220 = 225716672447369827
BaseRepresentation
bin110000000001011000010111…
…110011100101001101010100
31000200210122000021022212000201
4300001120113303211031110
5210140304344012224340
62025104242230350244
762325530445553420
oct6001302763451524
91020718007285021
10211201121211220
116132798aa15aa8
121b8302381bb384
1390b024609b59a
143a2229013bb80
151963c5c34379a
hexc01617ce5354

211201121211220 has 96 divisors (see below), whose sum is σ = 507395400486912. Its totient is φ = 72338604659328.

The previous prime is 211201121211209. The next prime is 211201121211221. The reversal of 211201121211220 is 22112121102112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201121211221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570895947 + ... + 571265773.

It is an arithmetic number, because the mean of its divisors is an integer number (5285368755072).

Almost surely, 2211201121211220 is an apocalyptic number.

211201121211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201121211220 is an abundant number, since it is smaller than the sum of its proper divisors (296194279275692).

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

211201121211220 is a wasteful number, since it uses less digits than its factorization.

211201121211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373957 (or 373955 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211201121211220 its reverse (22112121102112), we get a palindrome (233313242313332).

The spelling of 211201121211220 in words is "two hundred eleven trillion, two hundred one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1667 2447 3334 4894 6668 8335 9788 11669 12235 16670 17129 23338 24470 33340 34258 46676 48940 58345 68516 85645 116690 171290 233380 342580 369827 739654 1479308 1849135 2588789 3698270 4079149 5177578 7396540 8158298 10355156 12943945 16316596 20395745 25887890 28554043 40791490 51775780 57108086 81582980 114216172 142770215 285540430 571080860 616501609 904966669 1233003218 1809933338 2466006436 3082508045 3619866676 4315511263 4524833345 6165016090 6334766683 8631022526 9049666690 12330032180 12669533366 17262045052 18099333380 21577556315 25339066732 31673833415 43155112630 63347666830 86310225260 126695333660 1508579437223 3017158874446 6034317748892 7542897186115 10560056060561 15085794372230 21120112121122 30171588744460 42240224242244 52800280302805 105600560605610 211201121211220