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112201112010 = 235133143321433
BaseRepresentation
bin110100001111110110…
…1010001100111001010
3101201121111012001102010
41220133231101213022
53314241441041020
6123313335120350
711051306500431
oct1503755214712
9351544161363
10112201112010
114364766a149
12198b3b130b6
13a77152a750
145605670118
152dba483de0
hex1a1fb519ca

112201112010 has 128 divisors (see below), whose sum is σ = 300056795136. Its totient is φ = 26664837120.

The previous prime is 112201111943. The next prime is 112201112033. The reversal of 112201112010 is 10211102211.

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, 5224254 + ... + 5245686.

It is an arithmetic number, because the mean of its divisors is an integer number (2344193712).

Almost surely, 2112201112010 is an apocalyptic number.

112201112010 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 112201112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150028397568).

112201112010 is an abundant number, since it is smaller than the sum of its proper divisors (187855683126).

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

112201112010 is a wasteful number, since it uses less digits than its factorization.

112201112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21920.

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

Adding to 112201112010 its reverse (10211102211), we get a palindrome (122412214221).

The spelling of 112201112010 in words is "one hundred twelve billion, two hundred one million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 433 465 806 866 930 1209 1299 2015 2165 2418 2598 4030 4330 5629 6045 6495 11258 12090 12990 13423 16887 21433 26846 28145 33774 40269 42866 56290 64299 67115 80538 84435 107165 128598 134230 168870 174499 201345 214330 278629 321495 348998 402690 523497 557258 642990 664423 835887 872495 1046994 1328846 1393145 1671774 1744990 1993269 2617485 2786290 3322115 3986538 4179435 5234970 6644230 8358870 8637499 9280489 9966345 17274998 18560978 19932690 25912497 27841467 43187495 46402445 51824994 55682934 86374990 92804890 120646357 129562485 139207335 241292714 259124970 278414670 287695159 361939071 575390318 603231785 723878142 863085477 1206463570 1438475795 1726170954 1809695355 2876951590 3619390710 3740037067 4315427385 7480074134 8630854770 11220111201 18700185335 22440222402 37400370670 56100556005 112201112010