Search a number
-
+
203121100202202 = 2327131013094939671
BaseRepresentation
bin101110001011110011010001…
…000001100010000011011010
3222122012012001201022000012200
4232023303101001202003122
5203110414003122432302
62000000313434351030
760533005134311610
oct5613632101420332
9878165051260180
10203121100202202
11597a21a1787366
121a94629158b476
138945311bc7b60
1438231840156b0
1518739a515e81c
hexb8bcd10620da

203121100202202 has 192 divisors, whose sum is σ = 547050664742400. Its totient is φ = 53036949312000.

The previous prime is 203121100202201. The next prime is 203121100202239. The reversal of 203121100202202 is 202202001121302.

203121100202202 is a `hidden beast` number, since 2 + 0 + 312 + 110 + 0 + 20 + 220 + 2 = 666.

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 (203121100202201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5120120827 + ... + 5120160497.

It is an arithmetic number, because the mean of its divisors is an integer number (2849222212200).

Almost surely, 2203121100202202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203121100202202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273525332371200).

203121100202202 is an abundant number, since it is smaller than the sum of its proper divisors (343929564540198).

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

203121100202202 is a wasteful number, since it uses less digits than its factorization.

203121100202202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70749 (or 70746 counting only the distinct ones).

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

Adding to 203121100202202 its reverse (202202001121302), we get a palindrome (405323101323504).

It can be divided in two parts, 203121100 and 202202, that added together give a palindrome (203323302).

The spelling of 203121100202202 in words is "two hundred three trillion, one hundred twenty-one billion, one hundred million, two hundred two thousand, two hundred two".