Search a number
-
+
2100202211112 = 233179397547787
BaseRepresentation
bin11110100011111101110…
…011101000011100101000
321102202222200222120201020
4132203331303220130220
5233402203231223422
64244453010052440
7304506653150235
oct36437563503450
97382880876636
102100202211112
1173a76643a105
1229b04957a120
13123081c23655
147391670a78c
153996ed5b95c
hex1e8fdce8728

2100202211112 has 64 divisors (see below), whose sum is σ = 5559960553920. Its totient is φ = 658815648768.

The previous prime is 2100202211111. The next prime is 2100202211161. The reversal of 2100202211112 is 2111122020012.

It is a junction number, because it is equal to n+sod(n) for n = 2100202211091 and 2100202211100.

It is not an unprimeable number, because it can be changed into a prime (2100202211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560083 + ... + 4107869.

It is an arithmetic number, because the mean of its divisors is an integer number (86874383655).

Almost surely, 22100202211112 is an apocalyptic number.

It is an amenable number.

2100202211112 is an abundant number, since it is smaller than the sum of its proper divisors (3459758342808).

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

2100202211112 is a wasteful number, since it uses less digits than its factorization.

2100202211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557210 (or 557206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2100202211112 its reverse (2111122020012), we get a palindrome (4211324231124).

The spelling of 2100202211112 in words is "two trillion, one hundred billion, two hundred two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 9397 18794 28191 37588 56382 75176 112764 159749 225528 319498 479247 547787 638996 958494 1095574 1277992 1643361 1916988 2191148 3286722 3833976 4382296 6573444 9312379 13146888 18624758 27937137 37249516 55874274 74499032 111748548 223497096 5147554439 10295108878 15442663317 20590217756 30885326634 41180435512 61770653268 87508425463 123541306536 175016850926 262525276389 350033701852 525050552778 700067403704 1050101105556 2100202211112