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112002022110 = 235111632777517
BaseRepresentation
bin110100001001111010…
…1110011101011011110
3101201002121120020102010
41220103311303223132
53313340004201420
6123241504012050
711043341323416
oct1502365635336
9351077506363
10112002022110
1143555248a40
1219859301026
13a73c201784
1455c7047646
152da7c594e0
hex1a13d73ade

112002022110 has 128 divisors (see below), whose sum is σ = 296145206784. Its totient is φ = 26884431360.

The previous prime is 112002022019. The next prime is 112002022141. The reversal of 112002022110 is 11220200211.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14896072 + ... + 14903588.

It is an arithmetic number, because the mean of its divisors is an integer number (2313634428).

Almost surely, 2112002022110 is an apocalyptic number.

112002022110 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 112002022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148072603392).

112002022110 is an abundant number, since it is smaller than the sum of its proper divisors (184143184674).

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

112002022110 is a wasteful number, since it uses less digits than its factorization.

112002022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112002022110 its reverse (11220200211), we get a palindrome (123222222321).

The spelling of 112002022110 in words is "one hundred twelve billion, two million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 163 165 277 326 330 489 554 815 831 978 1385 1630 1662 1793 2445 2770 3047 3586 4155 4890 5379 6094 7517 8310 8965 9141 10758 15034 15235 17930 18282 22551 26895 30470 37585 45102 45151 45705 53790 75170 82687 90302 91410 112755 135453 165374 225510 225755 248061 270906 413435 451510 496122 496661 677265 826870 993322 1225271 1240305 1354530 1489983 2082209 2450542 2480610 2483305 2979966 3675813 4164418 4966610 6126355 6246627 7351626 7449915 10411045 12252710 12493254 13477981 14899830 18379065 20822090 22904299 26955962 31233135 36758130 40433943 45808598 62466270 67389905 68712897 80867886 114521495 134779810 137425794 202169715 229042990 339400067 343564485 404339430 678800134 687128970 1018200201 1697000335 2036400402 3394000670 3733400737 5091001005 7466801474 10182002010 11200202211 18667003685 22400404422 37334007370 56001011055 112002022110