Search a number
-
+
112100221111220 = 22541686919902109
BaseRepresentation
bin11001011111010001011101…
…110110111100101110110100
3112200220200021011002120220022
4121133101131312330232310
5104143122223101024340
61034230044115024312
732416654660435346
oct3137213566745664
9480820234076808
10112100221111220
113279a489409221
12106a593529b098
134a7200c0b16b4
141d97972d6b296
15ce5eb60543b5
hex65f45ddbcbb4

112100221111220 has 48 divisors (see below), whose sum is σ = 241187302414800. Its totient is φ = 43740056878080.

The previous prime is 112100221111213. The next prime is 112100221111273. The reversal of 112100221111220 is 22111122001211.

It can be written as a sum of positive squares in 8 ways, for example, as 13455676567204 + 98644544544016 = 3668198^2 + 9931996^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4318475 + ... + 15583634.

It is an arithmetic number, because the mean of its divisors is an integer number (5024735466975).

Almost surely, 2112100221111220 is an apocalyptic number.

112100221111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100221111220 is an abundant number, since it is smaller than the sum of its proper divisors (129087081303580).

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

112100221111220 is a wasteful number, since it uses less digits than its factorization.

112100221111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19909028 (or 19909026 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112100221111220 its reverse (22111122001211), we get a palindrome (134211343112431).

The spelling of 112100221111220 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 6869 13738 27476 34345 68690 137380 281629 563258 1126516 1408145 2816290 5632580 19902109 39804218 79608436 99510545 199021090 398042180 815986469 1631972938 3263945876 4079932345 8159864690 16319729380 136707586721 273415173442 546830346884 683537933605 1367075867210 2734151734420 5605011055561 11210022111122 22420044222244 28025055277805 56050110555610 112100221111220