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211221231132 = 223193615114827
BaseRepresentation
bin1100010010110111000…
…1000011011000011100
3202012012101000021210110
43010231301003120130
511430040113344012
6241011140010020
721155154561402
oct3045561033034
9665171007713
10211221231132
118163a97323a
1234b29690910
1316bc2025702
14a31a4dd472
15576366373c
hex312dc4361c

211221231132 has 48 divisors (see below), whose sum is σ = 495517121792. Its totient is φ = 70026163200.

The previous prime is 211221231071. The next prime is 211221231259. The reversal of 211221231132 is 231132122112.

It is a super-2 number, since 2×2112212311322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211221231099 and 211221231108.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14238303 + ... + 14253129.

Almost surely, 2211221231132 is an apocalyptic number.

It is an amenable number.

211221231132 is an abundant number, since it is smaller than the sum of its proper divisors (284295890660).

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

211221231132 is a wasteful number, since it uses less digits than its factorization.

211221231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21178 (or 21176 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 211221231132 its reverse (231132122112), we get a palindrome (442353353244).

The spelling of 211221231132 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 193 386 579 772 1158 2316 6151 12302 14827 18453 24604 29654 36906 44481 59308 73812 88962 177924 1187143 2374286 2861611 3561429 4748572 5723222 7122858 8584833 11446444 14245716 17169666 34339332 91200877 182401754 273602631 364803508 547205262 1094410524 17601769261 35203538522 52805307783 70407077044 105610615566 211221231132