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112121020110 = 235116110155147
BaseRepresentation
bin110100001101011101…
…1101111111011001110
3101201101220110221222110
41220122323233323032
53314110440120420
6123301354324450
711046314642361
oct1503273577316
9351356427873
10112121020110
11436064359a0
1219891129726
13a75aa675a8
1455d8b820d8
152db3412ee0
hex1a1aeefece

112121020110 has 128 divisors (see below), whose sum is σ = 301325142528. Its totient is φ = 26470080000.

The previous prime is 112121020051. The next prime is 112121020129. The reversal of 112121020110 is 11020121211.

It is a super-2 number, since 2×1121210201102 (a number of 23 digits) contains 22 as substring.

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, 2005557 + ... + 2060703.

It is an arithmetic number, because the mean of its divisors is an integer number (2354102676).

Almost surely, 2112121020110 is an apocalyptic number.

112121020110 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 112121020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150662571264).

112121020110 is an abundant number, since it is smaller than the sum of its proper divisors (189204122418).

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

112121020110 is a wasteful number, since it uses less digits than its factorization.

112121020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55330.

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

Adding to 112121020110 its reverse (11020121211), we get a palindrome (123141141321).

The spelling of 112121020110 in words is "one hundred twelve billion, one hundred twenty-one million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 101 110 122 165 183 202 303 305 330 366 505 606 610 671 915 1010 1111 1342 1515 1830 2013 2222 3030 3333 3355 4026 5555 6161 6666 6710 10065 11110 12322 16665 18483 20130 30805 33330 36966 55147 61610 67771 92415 110294 135542 165441 184830 203313 275735 330882 338855 406626 551470 606617 677710 827205 1016565 1213234 1654410 1819851 2033130 3033085 3363967 3639702 5569847 6066170 6727934 9099255 10091901 11139694 16709541 16819835 18198510 20183802 27849235 33419082 33639670 37003637 50459505 55698470 61268317 74007274 83547705 100919010 111010911 122536634 167095410 183804951 185018185 222021822 306341585 339760667 367609902 370036370 555054555 612683170 679521334 919024755 1019282001 1110109110 1698803335 1838049510 2038564002 3397606670 3737367337 5096410005 7474734674 10192820010 11212102011 18686836685 22424204022 37373673370 56060510055 112121020110