Search a number
-
+
22102202012100 = 22352710524858101
BaseRepresentation
bin1010000011010000100011…
…11001100101000111000100
32220020221122110102111121020
411001220101321211013010
510344110302203341400
6115001340022551140
74440555112214550
oct501502171450704
986227573374536
1022102202012100
117051544918231
12258b67a8984b0
13c442c8611c82
14565a763b0860
15284de05662a0
hex141a11e651c4

22102202012100 has 72 divisors (see below), whose sum is σ = 73084614660288. Its totient is φ = 5051931888000.

The previous prime is 22102202012041. The next prime is 22102202012131. The reversal of 22102202012100 is 121020220122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22102202012100.

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, 5262426951 + ... + 5262431150.

It is an arithmetic number, because the mean of its divisors is an integer number (1015064092504).

Almost surely, 222102202012100 is an apocalyptic number.

22102202012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102202012100 is an abundant number, since it is smaller than the sum of its proper divisors (50982412648188).

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

22102202012100 is a wasteful number, since it uses less digits than its factorization.

22102202012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524858125 (or 10524858118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102202012100 its reverse (121020220122), we get a palindrome (22223222232222).

The spelling of 22102202012100 in words is "twenty-two trillion, one hundred two billion, two hundred two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 10524858101 21049716202 31574574303 42099432404 52624290505 63149148606 73674006707 105248581010 126298297212 147348013414 157872871515 210497162020 221022020121 263121452525 294696026828 315745743030 368370033535 442044040242 526242905050 631491486060 736740067070 789364357575 884088080484 1052485810100 1105110100605 1473480134140 1578728715150 1841850167675 2210220201210 3157457430300 3683700335350 4420440402420 5525550503025 7367400670700 11051101006050 22102202012100