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220121200212100 = 2252111463313675267
BaseRepresentation
bin110010000011001011110101…
…111100100011100010000100
31001212101101021220200021012121
4302003023311330203202010
5212322431204223241400
62100054141112455324
764236142354212445
oct6203136574434204
91055341256607177
10220121200212100
1164156970a76630
1220830b686aa544
1395a94562c6b45
143c4dccc7712cc
151a6acce45921a
hexc832f5f23884

220121200212100 has 72 divisors (see below), whose sum is σ = 521122562458848. Its totient is φ = 80038596844800.

The previous prime is 220121200212097. The next prime is 220121200212103. The reversal of 220121200212100 is 1212002121022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220121200212097) and next prime (220121200212103).

It is not an unprimeable number, because it can be changed into a prime (220121200212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9258667 + ... + 22933933.

It is an arithmetic number, because the mean of its divisors is an integer number (7237813367484).

Almost surely, 2220121200212100 is an apocalyptic number.

220121200212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121200212100 is an abundant number, since it is smaller than the sum of its proper divisors (301001362246748).

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

220121200212100 is a wasteful number, since it uses less digits than its factorization.

220121200212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13689925 (or 13689918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220121200212100 its reverse (1212002121022), we get a palindrome (221333202333122).

It can be divided in two parts, 2 and 20121200212100, that added together give a palindrome (20121200212102).

The spelling of 220121200212100 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 14633 29266 58532 73165 146330 160963 292660 321926 365825 643852 731650 804815 1463300 1609630 3219260 4024075 8048150 13675267 16096300 27350534 54701068 68376335 136752670 150427937 273505340 300855874 341881675 601711748 683763350 752139685 1367526700 1504279370 3008558740 3760698425 7521396850 15042793700 200110182011 400220364022 800440728044 1000550910055 2001101820110 2201212002121 4002203640220 4402424004242 5002754550275 8804848008484 10005509100550 11006060010605 20011018201100 22012120021210 44024240042420 55030300053025 110060600106050 220121200212100