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112111020210 = 235716315832069
BaseRepresentation
bin110100001101001010…
…1100110100010110010
3101201101012122220200210
41220122111212202302
53314100410121320
6123300400124550
711046133643220
oct1503225464262
9351335586623
10112111020210
1143600825912
1219889906756
13a758975aa7
1455d76dbb10
152db25da0e0
hex1a1a5668b2

112111020210 has 128 divisors (see below), whose sum is σ = 309736120320. Its totient is φ = 25439774976.

The previous prime is 112111020187. The next prime is 112111020233. The reversal of 112111020210 is 12020111211.

112111020210 is digitally balanced in base 3, 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 (112111020187) and next prime (112111020233).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 54185056 + ... + 54187124.

It is an arithmetic number, because the mean of its divisors is an integer number (2419813440).

Almost surely, 2112111020210 is an apocalyptic number.

112111020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112111020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154868060160).

112111020210 is an abundant number, since it is smaller than the sum of its proper divisors (197625100110).

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

112111020210 is a wasteful number, since it uses less digits than its factorization.

112111020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112111020210 its reverse (12020111211), we get a palindrome (124131131421).

The spelling of 112111020210 in words is "one hundred twelve billion, one hundred eleven million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1141 1583 1630 2069 2282 2445 3166 3423 4138 4749 4890 5705 6207 6846 7915 9498 10345 11081 11410 12414 14483 15830 17115 20690 22162 23745 28966 31035 33243 34230 43449 47490 55405 62070 66486 72415 86898 110810 144830 166215 217245 258029 332430 337247 434490 516058 674494 774087 1011741 1290145 1548174 1686235 1806203 2023482 2360729 2580290 3275227 3372470 3612406 3870435 4721458 5058705 5418609 6550454 7082187 7740870 9031015 9825681 10117410 10837218 11803645 14164374 16376135 18062030 19651362 22926589 23607290 27093045 32752270 35410935 45853178 49128405 54186090 68779767 70821870 98256810 114632945 137559534 229265890 343898835 533862001 687797670 1067724002 1601586003 2669310005 3203172006 3737034007 5338620010 7474068014 8007930015 11211102021 16015860030 18685170035 22422204042 37370340070 56055510105 112111020210