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202122101220 = 223513259130899
BaseRepresentation
bin1011110000111101101…
…0101000000111100100
3201022201020101121002220
42330033122220013210
511302421224214340
6232504214032340
720413526341014
oct2741732500744
9638636347086
10202122101220
11787a0725266
123320a3486b0
13160a1b77980
149ad5c81c44
1553ce904ed0
hex2f0f6a81e4

202122101220 has 48 divisors (see below), whose sum is σ = 609475876800. Its totient is φ = 49753132416.

The previous prime is 202122101197. The next prime is 202122101243. The reversal of 202122101220 is 22101221202.

202122101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202122101197) and next prime (202122101243).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202122101220.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129564670 + ... + 129566229.

It is an arithmetic number, because the mean of its divisors is an integer number (12697414100).

Almost surely, 2202122101220 is an apocalyptic number.

202122101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122101220 is an abundant number, since it is smaller than the sum of its proper divisors (407353775580).

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

202122101220 is a wasteful number, since it uses less digits than its factorization.

202122101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259130924 (or 259130922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202122101220 its reverse (22101221202), we get a palindrome (224223322422).

The spelling of 202122101220 in words is "two hundred two billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 259130899 518261798 777392697 1036523596 1295654495 1554785394 2591308990 3109570788 3368701687 3886963485 5182617980 6737403374 7773926970 10106105061 13474806748 15547853940 16843508435 20212210122 33687016870 40424420244 50530525305 67374033740 101061050610 202122101220