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122102100200 = 23524671307303
BaseRepresentation
bin111000110110111011…
…0100011000011101000
3102200011111122100212102
41301231312203003220
54000031114201300
6132032023432532
711551542504263
oct1615566430350
9380144570772
10122102100200
11478684a8113
121b7b78b5748
13b68b85c142
145ca45bbcda
1532997d50d5
hex1c6dda30e8

122102100200 has 48 divisors (see below), whose sum is σ = 284495496480. Its totient is φ = 48736218560.

The previous prime is 122102100199. The next prime is 122102100209. The reversal of 122102100200 is 2001201221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122102100209) 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 11 ways as a sum of consecutive naturals, for example, 560252 + ... + 747051.

It is an arithmetic number, because the mean of its divisors is an integer number (5926989510).

Almost surely, 2122102100200 is an apocalyptic number.

122102100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102100200 is an abundant number, since it is smaller than the sum of its proper divisors (162393396280).

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

122102100200 is a wasteful number, since it uses less digits than its factorization.

122102100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307786 (or 1307777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122102100200 its reverse (2001201221), we get a palindrome (124103301421).

The spelling of 122102100200 in words is "one hundred twenty-two billion, one hundred two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 467 934 1868 2335 3736 4670 9340 11675 18680 23350 46700 93400 1307303 2614606 5229212 6536515 10458424 13073030 26146060 32682575 52292120 65365150 130730300 261460600 610510501 1221021002 2442042004 3052552505 4884084008 6105105010 12210210020 15262762525 24420420040 30525525050 61051050100 122102100200