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2100012222220 = 22511431012197907
BaseRepresentation
bin11110100011110010011…
…110111000011100001100
321102202111110111010221121
4132203302132320130030
5233401311112102340
64244422102010324
7304502155236613
oct36436236703414
97382443433847
102100012222220
1173a6791746a0
1229abb5a169a4
13123051762ca3
14738d93b287a
153995d32d94a
hex1e8f27b870c

2100012222220 has 96 divisors (see below), whose sum is σ = 4971562396416. Its totient is φ = 738496416000.

The previous prime is 2100012222181. The next prime is 2100012222271. The reversal of 2100012222220 is 222222100012.

It is a junction number, because it is equal to n+sod(n) for n = 2100012222194 and 2100012222203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143494 + ... + 2054413.

It is an arithmetic number, because the mean of its divisors is an integer number (51787108296).

Almost surely, 22100012222220 is an apocalyptic number.

2100012222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100012222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485781198208).

2100012222220 is an abundant number, since it is smaller than the sum of its proper divisors (2871550174196).

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

2100012222220 is a wasteful number, since it uses less digits than its factorization.

2100012222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198071 (or 2198069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2100012222220 its reverse (222222100012), we get a palindrome (2322234322232).

It can be divided in two parts, 2100012 and 222220, that added together give a palindrome (2322232).

The spelling of 2100012222220 in words is "two trillion, one hundred billion, twelve million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 101 110 172 202 215 220 404 430 473 505 860 946 1010 1111 1892 2020 2222 2365 4343 4444 4730 5555 8686 9460 11110 17372 21715 22220 43430 47773 86860 95546 191092 238865 477730 955460 2197907 4395814 8791628 10989535 21979070 24176977 43958140 48353954 94510001 96707908 120884885 189020002 221988607 241769770 378040004 443977214 472550005 483539540 887954428 945100010 1039610011 1109943035 1890200020 2079220022 2219886070 2441874677 4158440044 4439772140 4883749354 5198050055 9545510101 9767498708 10396100110 12209373385 19091020202 20792200220 24418746770 38182040404 47727550505 48837493540 95455101010 105000611111 190910202020 210001222222 420002444444 525003055555 1050006111110 2100012222220