Search a number
-
+
1022221100200 = 235231164874371
BaseRepresentation
bin11101110000000010010…
…00000010010010101000
310121201112100100021102011
432320001020002102220
5113222002100201300
62101334001445304
7133565406662506
oct16700110022250
93551470307364
101022221100200
11364581186413
12146143940834
1375519b81c41
14376936dd676
151b8cc4baeba
hexee012024a8

1022221100200 has 48 divisors (see below), whose sum is σ = 2453330655360. Its totient is φ = 395698488000.

The previous prime is 1022221100141. The next prime is 1022221100209. The reversal of 1022221100200 is 20011222201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1022221100209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82430986 + ... + 82443385.

It is an arithmetic number, because the mean of its divisors is an integer number (51111055320).

Almost surely, 21022221100200 is an apocalyptic number.

1022221100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022221100200 is an abundant number, since it is smaller than the sum of its proper divisors (1431109555160).

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

1022221100200 is a wasteful number, since it uses less digits than its factorization.

1022221100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164874418 (or 164874409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022221100200 its reverse (20011222201), we get a palindrome (1042232322401).

The spelling of 1022221100200 in words is "one trillion, twenty-two billion, two hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 164874371 329748742 659497484 824371855 1318994968 1648743710 3297487420 4121859275 5111105501 6594974840 8243718550 10222211002 16487437100 20444422004 25555527505 32974874200 40888844008 51111055010 102222110020 127777637525 204444220040 255555275050 511110550100 1022221100200