Search a number
-
+
2200120022012 = 22111491063131567
BaseRepresentation
bin100000000001000001010…
…111110101001111111100
321210022220010222021201012
4200001001113311033330
5242021321211201022
64402415435334352
7314645011424333
oct40010127651774
97708803867635
102200120022012
1177907a439330
122b64938b13b8
1312c6166b7493
14786b4894d1a
153c36bc5dde2
hex200415f53fc

2200120022012 has 48 divisors (see below), whose sum is σ = 4228950297600. Its totient is φ = 993217876800.

The previous prime is 2200120021997. The next prime is 2200120022017. The reversal of 2200120022012 is 2102200210022.

It is a super-2 number, since 2×22001200220122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200120022017) 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 15 ways as a sum of consecutive naturals, for example, 69681053 + ... + 69712619.

It is an arithmetic number, because the mean of its divisors is an integer number (88103131200).

Almost surely, 22200120022012 is an apocalyptic number.

2200120022012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2200120022012 is a deficient number, since it is larger than the sum of its proper divisors (2028830275588).

2200120022012 is a wasteful number, since it uses less digits than its factorization.

2200120022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42362 (or 42360 counting only the distinct ones).

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

Adding to 2200120022012 its reverse (2102200210022), we get a palindrome (4302320232034).

The spelling of 2200120022012 in words is "two trillion, two hundred billion, one hundred twenty million, twenty-two thousand, twelve".

Divisors: 1 2 4 11 22 44 149 298 596 1639 3278 6556 10631 21262 31567 42524 63134 116941 126268 233882 347237 467764 694474 1388948 1584019 3168038 4703483 6336076 9406966 17424209 18813932 34848418 51738313 69696836 103476626 206953252 335588777 671177554 1342355108 3691476547 7382953094 14765906188 50002727773 100005455546 200010911092 550030005503 1100060011006 2200120022012