Search a number
-
+
1020121222200 = 233523154845227
BaseRepresentation
bin11101101100000111111…
…01101000110000111000
310121112010000001102022220
432312003331220300320
5113203202013102300
62100345350044040
7133462361214303
oct16660375506070
93545100042286
101020121222200
113636a3920a53
12145858649620
1375273b07792
1437534885b3a
151b807e79da0
hexed83f68c38

1020121222200 has 96 divisors (see below), whose sum is σ = 3264387970560. Its totient is φ = 263257084800.

The previous prime is 1020121222193. The next prime is 1020121222229. The reversal of 1020121222200 is 22221210201.

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 1020121222200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27404014 + ... + 27441213.

It is an arithmetic number, because the mean of its divisors is an integer number (34004041360).

Almost surely, 21020121222200 is an apocalyptic number.

1020121222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121222200 is an abundant number, since it is smaller than the sum of its proper divisors (2244266748360).

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

1020121222200 is a wasteful number, since it uses less digits than its factorization.

1020121222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54845277 (or 54845268 counting only the distinct ones).

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

Adding to 1020121222200 its reverse (22221210201), we get a palindrome (1042342432401).

The spelling of 1020121222200 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 54845227 109690454 164535681 219380908 274226135 329071362 438761816 548452270 658142724 822678405 1096904540 1316285448 1371130675 1645356810 1700202037 2193809080 2742261350 3290713620 3400404074 4113392025 5100606111 5484522700 6581427240 6800808148 8226784050 8501010185 10201212222 10969045400 13601616296 16453568100 17002020370 20402424444 25503030555 32907136200 34004040740 40804848888 42505050925 51006061110 68008081480 85010101850 102012122220 127515152775 170020203700 204024244440 255030305550 340040407400 510060611100 1020121222200