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2100112221220 = 225138539469349
BaseRepresentation
bin11110100011111000011…
…100010110010000100100
321102202202102122121210021
4132203320130112100210
5233402012212034340
64244440033204524
7304504511226106
oct36437034262044
97382672577707
102100112221220
1173a71a6653a2
1229b023400744
131230693a61b0
14739087a3576
1539966ed2e4a
hex1e8f8716424

2100112221220 has 48 divisors (see below), whose sum is σ = 4755053041200. Its totient is φ = 774516911616.

The previous prime is 2100112221217. The next prime is 2100112221269. The reversal of 2100112221220 is 221222110012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 474834002724 + 1625278218496 = 689082^2 + 1274864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100112221194 and 2100112221203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4512895 + ... + 4956454.

It is an arithmetic number, because the mean of its divisors is an integer number (99063605025).

Almost surely, 22100112221220 is an apocalyptic number.

2100112221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100112221220 is an abundant number, since it is smaller than the sum of its proper divisors (2654940819980).

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

2100112221220 is a wasteful number, since it uses less digits than its factorization.

2100112221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470224 (or 9470222 counting only the distinct ones).

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

Adding to 2100112221220 its reverse (221222110012), we get a palindrome (2321334331232).

The spelling of 2100112221220 in words is "two trillion, one hundred billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 853 1706 3412 4265 8530 11089 17060 22178 44356 55445 110890 221780 9469349 18938698 37877396 47346745 94693490 123101537 189386980 246203074 492406148 615507685 1231015370 2462030740 8077354697 16154709394 32309418788 40386773485 80773546970 105005611061 161547093940 210011222122 420022444244 525028055305 1050056110610 2100112221220