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224203410012100 = 225211837331894037
BaseRepresentation
bin110010111110100101101100…
…100111000111011111000100
31002101211122012010121111212011
4302332211230213013133010
5213341322040430341400
62112501342532104004
765140106336044021
oct6276455447073704
91071748163544764
10224203410012100
116549014aa87772
1221190158465004
1398143a1caa53c
143d51708118548
151adc0a28d88ba
hexcbe96c9c77c4

224203410012100 has 36 divisors (see below), whose sum is σ = 486522067602564. Its totient is φ = 89681240894080.

The previous prime is 224203410012091. The next prime is 224203410012103. The reversal of 224203410012100 is 1210014302422.

It can be written as a sum of positive squares in 6 ways, for example, as 1017080318016 + 223186329694084 = 1008504^2 + 14939422^2 .

It is a super-2 number, since 2×2242034100121002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224203410012103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117426282 + ... + 119320318.

It is an arithmetic number, because the mean of its divisors is an integer number (13514501877849).

Almost surely, 2224203410012100 is an apocalyptic number.

224203410012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224203410012100 is an abundant number, since it is smaller than the sum of its proper divisors (262318657590464).

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

224203410012100 is a wasteful number, since it uses less digits than its factorization.

224203410012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077784 (or 3077777 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 224203410012100 its reverse (1210014302422), we get a palindrome (225413424314522).

The spelling of 224203410012100 in words is "two hundred twenty-four trillion, two hundred three billion, four hundred ten million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1183733 1894037 2367466 3788074 4734932 5918665 7576148 9470185 11837330 18940370 23674660 29593325 37880740 47350925 59186650 94701850 118373300 189403700 2242034100121 4484068200242 8968136400484 11210170500605 22420341001210 44840682002420 56050852503025 112101705006050 224203410012100