Search a number
-
+
202101333030 = 232537109556799
BaseRepresentation
bin1011110000111000101…
…1011001110000100110
3201022122210022110111200
42330032023121300212
511302400420124110
6232502152543330
720413154662242
oct2741613316046
9638583273450
10202101333030
117878aa2a873
12332033b1b46
131609a7859bc
149ad31d7422
1553ccba16c0
hex2f0e2d9c26

202101333030 has 96 divisors (see below), whose sum is σ = 544617216000. Its totient is φ = 51955934976.

The previous prime is 202101333001. The next prime is 202101333037. The reversal of 202101333030 is 30333101202.

202101333030 is a `hidden beast` number, since 20 + 210 + 133 + 303 + 0 = 666.

202101333030 is digitally balanced in base 2, because in such base 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 a junction number, because it is equal to n+sod(n) for n = 202101332994 and 202101333012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101333037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84571 + ... + 641369.

It is an arithmetic number, because the mean of its divisors is an integer number (5673096000).

Almost surely, 2202101333030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101333030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272308608000).

202101333030 is an abundant number, since it is smaller than the sum of its proper divisors (342515882970).

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

202101333030 is a wasteful number, since it uses less digits than its factorization.

202101333030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556958 (or 556955 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 202101333030 its reverse (30333101202), we get a palindrome (232434434232).

The spelling of 202101333030 in words is "two hundred two billion, one hundred one million, three hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 109 111 185 218 222 327 333 370 545 555 654 666 981 1090 1110 1635 1665 1962 3270 3330 4033 4905 8066 9810 12099 20165 24198 36297 40330 60495 72594 120990 181485 362970 556799 1113598 1670397 2783995 3340794 5011191 5567990 8351985 10022382 16703970 20601563 25055955 41203126 50111910 60691091 61804689 103007815 121382182 123609378 182073273 185414067 206015630 303455455 309023445 364146546 370828134 546219819 606910910 618046890 910366365 927070335 1092439638 1820732730 1854140670 2245570367 2731099095 4491140734 5462198190 6736711101 11227851835 13473422202 20210133303 22455703670 33683555505 40420266606 67367111010 101050666515 202101333030