Search a number
-
+
200210201120232 = 233219149982231451
BaseRepresentation
bin101101100001011100010001…
…111010110000110111101000
3222020212220112011010100021200
4231201130101322300313220
5202220220442441321412
61545451144025004200
760112465265335032
oct5541342172606750
9866786464110250
10200210201120232
115887a740077126
121a5560b3323660
138793982b55674
14376232285cc52
151822dd7d9c9dc
hexb61711eb0de8

200210201120232 has 96 divisors (see below), whose sum is σ = 574605399420000. Its totient is φ = 62799949987200.

The previous prime is 200210201120197. The next prime is 200210201120233. The reversal of 200210201120232 is 232021102012002.

200210201120232 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 201 + 1 + 20 + 232 = 666.

200210201120232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (200210201120233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490911894 + ... + 491319557.

It is an arithmetic number, because the mean of its divisors is an integer number (5985472910625).

Almost surely, 2200210201120232 is an apocalyptic number.

It is an amenable number.

200210201120232 is an abundant number, since it is smaller than the sum of its proper divisors (374395198299768).

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

200210201120232 is a wasteful number, since it uses less digits than its factorization.

200210201120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982231631 (or 982231624 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200210201120232 its reverse (232021102012002), we get a palindrome (432231303132234).

The spelling of 200210201120232 in words is "two hundred trillion, two hundred ten billion, two hundred one million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 149 152 171 228 298 342 447 456 596 684 894 1192 1341 1368 1788 2682 2831 3576 5364 5662 8493 10728 11324 16986 22648 25479 33972 50958 67944 101916 203832 982231451 1964462902 2946694353 3928925804 5893388706 7857851608 8840083059 11786777412 17680166118 18662397569 23573554824 35360332236 37324795138 55987192707 70720664472 74649590276 111974385414 146352486199 149299180552 167961578121 223948770828 292704972398 335923156242 439057458597 447897541656 585409944796 671846312484 878114917194 1170819889592 1317172375791 1343692624968 1756229834388 2634344751582 2780697237781 3512459668776 5268689503164 5561394475562 8342091713343 10537379006328 11122788951124 16684183426686 22245577902248 25026275140029 33368366853372 50052550280058 66736733706744 100105100560116 200210201120232