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27212024100 = 22352175335691
BaseRepresentation
bin11001010101111101…
…101000100100100100
32121020110020001102110
4121111331220210210
5421212234232400
620300120041020
71652224250142
oct312575504444
977213201373
1027212024100
11105a4529518
125335303170
1327488b7b11
141462074592
15a93eb6e50
hex655f68924

27212024100 has 72 divisors (see below), whose sum is σ = 83364851808. Its totient is φ = 6829683200.

The previous prime is 27212024093. The next prime is 27212024131. The reversal of 27212024100 is 142021272.

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, 2662746 + ... + 2672945.

It is an arithmetic number, because the mean of its divisors is an integer number (1157845164).

Almost surely, 227212024100 is an apocalyptic number.

27212024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27212024100 is an abundant number, since it is smaller than the sum of its proper divisors (56152827708).

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

27212024100 is a wasteful number, since it uses less digits than its factorization.

27212024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335725 (or 5335718 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 27212024100 its reverse (142021272), we get a palindrome (27354045372).

The spelling of 27212024100 in words is "twenty-seven billion, two hundred twelve million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 5335691 10671382 16007073 21342764 26678455 32014146 53356910 64028292 80035365 90706747 106713820 133392275 160070730 181413494 266784550 272120241 320141460 362826988 400176825 453533735 533569100 544240482 800353650 907067470 1088480964 1360601205 1600707300 1814134940 2267668675 2721202410 4535337350 5442404820 6803006025 9070674700 13606012050 27212024100