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112120202010 = 235313710132261
BaseRepresentation
bin110100001101011100…
…0101000001100011010
3101201101211221101202110
41220122320220030122
53314110232431020
6123301325013150
711046304664265
oct1503270501432
9351354841673
10112120202010
1143605a27283
12198909b41b6
13a75a83c0cb
1455d8a0bcdc
152db33008e0
hex1a1ae2831a

112120202010 has 128 divisors (see below), whose sum is σ = 288109467648. Its totient is φ = 27872640000.

The previous prime is 112120202003. The next prime is 112120202021. The reversal of 112120202010 is 10202021211.

It is a Curzon 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, 3459280 + ... + 3491540.

It is an arithmetic number, because the mean of its divisors is an integer number (2250855216).

Almost surely, 2112120202010 is an apocalyptic number.

112120202010 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 112120202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144054733824).

112120202010 is an abundant number, since it is smaller than the sum of its proper divisors (175989265638).

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

112120202010 is a wasteful number, since it uses less digits than its factorization.

112120202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32440.

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

Adding to 112120202010 its reverse (10202021211), we get a palindrome (122322223221).

The spelling of 112120202010 in words is "one hundred twelve billion, one hundred twenty million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 101 111 155 185 186 202 222 303 310 370 465 505 555 606 930 1010 1110 1147 1515 2294 3030 3131 3441 3737 5735 6262 6882 7474 9393 11211 11470 15655 17205 18685 18786 22422 31310 32261 34410 37370 46965 56055 64522 93930 96783 112110 115847 161305 193566 231694 322610 347541 483915 579235 695082 967830 1000091 1158470 1193657 1737705 2000182 2387314 3000273 3258361 3475410 3580971 5000455 5968285 6000546 6516722 7161942 9775083 10000910 11936570 15001365 16291805 17904855 19550166 30002730 32583610 35809710 37003367 48875415 74006734 97750830 101009191 111010101 120559357 185016835 202018382 222020202 241118714 303027573 361678071 370033670 505045955 555050505 602796785 606055146 723356142 1010091910 1110101010 1205593570 1515137865 1808390355 3030275730 3616780710 3737340067 7474680134 11212020201 18686700335 22424040402 37373400670 56060101005 112120202010