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244122100100 = 22527099533613
BaseRepresentation
bin1110001101011011001…
…1111010000110000100
3212100010021210121021222
43203112303322012010
512444430224200400
6304051555455512
723431400420234
oct3432663720604
9770107717258
10244122100100
119459361a03a
123b38bbb7598
131a0363a3c08
14bb5bd07cc4
15653bc9e185
hex38d6cfa184

244122100100 has 72 divisors (see below), whose sum is σ = 531195766920. Its totient is φ = 97381831680.

The previous prime is 244122100099. The next prime is 244122100127. The reversal of 244122100100 is 1001221442.

244122100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 205765660996 + 38356439104 = 453614^2 + 195848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67565894 + ... + 67569506.

It is an arithmetic number, because the mean of its divisors is an integer number (7377718985).

Almost surely, 2244122100100 is an apocalyptic number.

244122100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244122100100 is an abundant number, since it is smaller than the sum of its proper divisors (287073666820).

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

244122100100 is a wasteful number, since it uses less digits than its factorization.

244122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 244122100100 its reverse (1001221442), we get a palindrome (245123321542).

The spelling of 244122100100 in words is "two hundred forty-four billion, one hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 709 953 1418 1906 2836 3545 3613 3812 4765 7090 7226 9530 14180 14452 17725 18065 19060 23825 35450 36130 47650 70900 72260 90325 95300 180650 361300 675677 1351354 2561617 2702708 3378385 3443189 5123234 6756770 6886378 10246468 12808085 13513540 13772756 16891925 17215945 25616170 33783850 34431890 51232340 64040425 67567700 68863780 86079725 128080850 172159450 256161700 344318900 2441221001 4882442002 9764884004 12206105005 24412210010 48824420020 61030525025 122061050050 244122100100