Search a number
-
+
120022221001100 = 225211293762452069
BaseRepresentation
bin11011010010100011011001…
…110110010001000110001100
3120201222000022221111211221012
4123102203121312101012030
5111212421002034013400
61103133240330024352
734165214344446005
oct3322433166210614
9521860287454835
10120022221001100
1135274157867230
121156513ab780b8
1351c807bca9c32
14218d16c2dc1ac
15dd20c038ad35
hex6d28d9d9118c

120022221001100 has 72 divisors (see below), whose sum is σ = 293922755708400. Its totient is φ = 42139463161600.

The previous prime is 120022221001073. The next prime is 120022221001181. The reversal of 120022221001100 is 1100122220021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1881194135 + ... + 1881257934.

It is an arithmetic number, because the mean of its divisors is an integer number (4082260495950).

Almost surely, 2120022221001100 is an apocalyptic number.

120022221001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022221001100 is an abundant number, since it is smaller than the sum of its proper divisors (173900534707300).

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

120022221001100 is a wasteful number, since it uses less digits than its factorization.

120022221001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762452123 (or 3762452116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120022221001100 its reverse (1100122220021), we get a palindrome (121122343221121).

It can be divided in two parts, 120022 and 221001100, that added together give a palindrome (221121122).

The spelling of 120022221001100 in words is "one hundred twenty trillion, twenty-two billion, two hundred twenty-one million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 3762452069 7524904138 15049808276 18812260345 37624520690 41386972759 75249041380 82773945518 94061301725 109111110001 165547891036 188122603450 206934863795 218222220002 376245206900 413869727590 436444440004 545555550005 827739455180 1034674318975 1091111100010 1200222210011 2069348637950 2182222200020 2400444420022 2727777750025 4138697275900 4800888840044 5455555500050 6001111050055 10911111000100 12002222100110 24004444200220 30005555250275 60011110500550 120022221001100