Search a number
-
+
200210122021120 = 2851391125281711
BaseRepresentation
bin101101100001011100001101…
…001101000001100100000000
3222020212220022122021200200221
4231201130031031001210000
5202220220312214133440
61545451132121352424
760112463315113261
oct5541341515014400
9866786278250627
10200210122021120
115887a6aa460862
121a556090938714
13879396c64c363
14376231614c968
151822dd0e75d4a
hexb6170d341900

200210122021120 has 72 divisors (see below), whose sum is σ = 483015922058880. Its totient is φ = 79507904501760.

The previous prime is 200210122021099. The next prime is 200210122021163. The reversal of 200210122021120 is 21120221012002.

It is a happy number.

It is a super-3 number, since 3×2002101220211203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200210122021094 and 200210122021103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562462936 + ... + 562818775.

It is an arithmetic number, because the mean of its divisors is an integer number (6708554473040).

Almost surely, 2200210122021120 is an apocalyptic number.

200210122021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210122021120 is an abundant number, since it is smaller than the sum of its proper divisors (282805800037760).

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

200210122021120 is a wasteful number, since it uses less digits than its factorization.

200210122021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125281871 (or 1125281857 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200210122021120 its reverse (21120221012002), we get a palindrome (221330343033122).

The spelling of 200210122021120 in words is "two hundred trillion, two hundred ten billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 256 278 320 556 640 695 1112 1280 1390 2224 2780 4448 5560 8896 11120 17792 22240 35584 44480 88960 177920 1125281711 2250563422 4501126844 5626408555 9002253688 11252817110 18004507376 22505634220 36009014752 45011268440 72018029504 90022536880 144036059008 156414157829 180045073760 288072118016 312828315658 360090147520 625656631316 720180295040 782070789145 1251313262632 1440360590080 1564141578290 2502626525264 3128283156580 5005253050528 6256566313160 10010506101056 12513132626320 20021012202112 25026265252640 40042024404224 50052530505280 100105061010560 200210122021120