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221131331320 = 235251132116673
BaseRepresentation
bin1100110111110001110…
…1000101011011111000
3210010210000121112120011
43031330131011123320
512110334110100240
6245330351511304
721655561205644
oct3157435053370
9703700545504
10221131331320
1185865965189
1236a34528534
1317b111c7713
14a9ba73dc24
155b436b46ea
hex337c7456f8

221131331320 has 64 divisors (see below), whose sum is σ = 499935875040. Its totient is φ = 88028160000.

The previous prime is 221131331263. The next prime is 221131331339. The reversal of 221131331320 is 23133131122.

It is a super-2 number, since 2×2211313313202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221131331291 and 221131331300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13254504 + ... + 13271176.

Almost surely, 2221131331320 is an apocalyptic number.

221131331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131331320 is an abundant number, since it is smaller than the sum of its proper divisors (278804543720).

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

221131331320 is a wasteful number, since it uses less digits than its factorization.

221131331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18256 (or 18252 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 221131331320 its reverse (23133131122), we get a palindrome (244264462442).

The spelling of 221131331320 in words is "two hundred twenty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 251 502 1004 1255 1321 2008 2510 2642 5020 5284 6605 10040 10568 13210 16673 26420 33346 52840 66692 83365 133384 166730 331571 333460 663142 666920 1326284 1657855 2652568 3315710 4184923 6631420 8369846 13262840 16739692 20924615 22025033 33479384 41849230 44050066 83698460 88100132 110125165 167396920 176200264 220250330 440500660 881001320 5528283283 11056566566 22113133132 27641416415 44226266264 55282832830 110565665660 221131331320