Search a number
-
+
2122220211100 = 2252112495377317
BaseRepresentation
bin11110111000011110001…
…011101000101110011100
321111212211011201212112021
4132320132023220232130
5234232301333223400
64302533504145524
7306216411105103
oct36703613505634
97455734655467
102122220211100
11749034a8a410
122a33733082a4
13125180708602
1474a04a1503a
153a30cd4371a
hex1ee1e2e8b9c

2122220211100 has 72 divisors (see below), whose sum is σ = 5024140340688. Its totient is φ = 771675532800.

The previous prime is 2122220211061. The next prime is 2122220211113. The reversal of 2122220211100 is 11120222212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27409642 + ... + 27486958.

It is an arithmetic number, because the mean of its divisors is an integer number (69779726954).

Almost surely, 22122220211100 is an apocalyptic number.

2122220211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122220211100 is an abundant number, since it is smaller than the sum of its proper divisors (2901920129588).

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

2122220211100 is a wasteful number, since it uses less digits than its factorization.

2122220211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102295 (or 102288 counting only the distinct ones).

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

Adding to 2122220211100 its reverse (11120222212), we get a palindrome (2133340433312).

The spelling of 2122220211100 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 24953 49906 77317 99812 124765 154634 249530 274483 309268 386585 499060 548966 623825 773170 850487 1097932 1247650 1372415 1546340 1700974 1932925 2495300 2744830 3401948 3865850 4252435 5489660 6862075 7731700 8504870 13724150 17009740 21262175 27448300 42524350 85048700 1929291101 3858582202 7717164404 9646455505 19292911010 21222202111 38585822020 42444404222 48232277525 84888808444 96464555050 106111010555 192929110100 212222021110 424444042220 530555052775 1061110105550 2122220211100