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11444445100 = 22521185312197
BaseRepresentation
bin10101010100010010…
…00101111110101100
31002112120202001022001
422222021011332230
5141414234220400
65131342102044
7553414115104
oct125211057654
932476661261
1011444445100
1149430aaaa0
12227487a924
13110502ab0a
147a7d24204
1546ead1a6a
hex2aa245fac

11444445100 has 72 divisors (see below), whose sum is σ = 27126107568. Its totient is φ = 4156396800.

The previous prime is 11444445097. The next prime is 11444445113. The reversal of 11444445100 is 154444411.

11444445100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932202 + ... + 944398.

It is an arithmetic number, because the mean of its divisors is an integer number (376751494).

Almost surely, 211444445100 is an apocalyptic number.

11444445100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13563053784).

11444445100 is an abundant number, since it is smaller than the sum of its proper divisors (15681662468).

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

11444445100 is a wasteful number, since it uses less digits than its factorization.

11444445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075 (or 13068 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 11444445100 its reverse (154444411), we get a palindrome (11598889511).

The spelling of 11444445100 in words is "eleven billion, four hundred forty-four million, four hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 853 1100 1706 3412 4265 8530 9383 12197 17060 18766 21325 24394 37532 42650 46915 48788 60985 85300 93830 121970 134167 187660 234575 243940 268334 304925 469150 536668 609850 670835 938300 1219700 1341670 2683340 3354175 6708350 10404041 13416700 20808082 41616164 52020205 104040410 114444451 208080820 228888902 260101025 457777804 520202050 572222255 1040404100 1144444510 2288889020 2861111275 5722222550 11444445100