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1222202100200 = 2352311759112069
BaseRepresentation
bin10001110010010000111…
…011000000100111101000
311022211201100212122210212
4101302100323000213220
5130011032214201300
62333245532400252
7154205210304104
oct21622073004750
94284640778725
101222202100200
1143137324a634
12178a55016088
138b33a27abc3
1443225076904
1521bd3e3a935
hex11c90ec09e8

1222202100200 has 96 divisors (see below), whose sum is σ = 2934978816000. Its totient is φ = 472837305600.

The previous prime is 1222202100199. The next prime is 1222202100209. The reversal of 1222202100200 is 20012022221.

It is not an unprimeable number, because it can be changed into a prime (1222202100209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10849766 + ... + 10961834.

It is an arithmetic number, because the mean of its divisors is an integer number (30572696000).

Almost surely, 21222202100200 is an apocalyptic number.

1222202100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222202100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467489408000).

1222202100200 is an abundant number, since it is smaller than the sum of its proper divisors (1712776715800).

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

1222202100200 is a wasteful number, since it uses less digits than its factorization.

1222202100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113875 (or 113866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1222202100200 its reverse (20012022221), we get a palindrome (1242214122421).

The spelling of 1222202100200 in words is "one trillion, two hundred twenty-two billion, two hundred two 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 1759 3100 3518 6200 7036 8795 14072 17590 35180 43975 54529 70360 87950 109058 112069 175900 218116 224138 272645 351800 436232 448276 545290 560345 896552 1090580 1120690 1363225 2181160 2241380 2726450 2801725 3474139 4482760 5452900 5603450 6948278 10905800 11206900 13896556 17370695 22413800 27793112 34741390 69482780 86853475 138965560 173706950 197129371 347413900 394258742 694827800 788517484 985646855 1577034968 1971293710 3942587420 4928234275 6111010501 7885174840 9856468550 12222021002 19712937100 24444042004 30555052505 39425874200 48888084008 61110105010 122220210020 152775262525 244440420040 305550525050 611101050100 1222202100200