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27020027331 = 33112231093299
BaseRepresentation
bin11001001010100001…
…001110010111000011
32120202001221121101000
4121022201032113003
5420314111333311
620225100543043
71644403304613
oct311241162703
976661847330
1027020027331
1110506112500
1252a0b51a83
132717ba356b
141444776a43
15a821de056
hex64a84e5c3

27020027331 has 96 divisors (see below), whose sum is σ = 46347840000. Its totient is φ = 15515375040.

The previous prime is 27020027327. The next prime is 27020027371. The reversal of 27020027331 is 13372002072.

It is a happy number.

It is not a de Polignac number, because 27020027331 - 22 = 27020027327 is a prime.

It is a super-2 number, since 2×270200273312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27020027295 and 27020027304.

It is not an unprimeable number, because it can be changed into a prime (27020027311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8188720 + ... + 8192018.

It is an arithmetic number, because the mean of its divisors is an integer number (482790000).

Almost surely, 227020027331 is an apocalyptic number.

27020027331 is a deficient number, since it is larger than the sum of its proper divisors (19327812669).

27020027331 is a wasteful number, since it uses less digits than its factorization.

27020027331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 27020027331 in words is "twenty-seven billion, twenty million, twenty-seven thousand, three hundred thirty-one".

Divisors: 1 3 9 11 23 27 33 69 99 109 121 207 253 297 327 363 621 759 981 1089 1199 2277 2507 2783 2943 3267 3299 3597 6831 7521 8349 9897 10791 13189 22563 25047 27577 29691 32373 36289 39567 67689 75141 75877 82731 89073 108867 118701 227631 248193 303347 326601 356103 359591 399179 682893 744579 834647 910041 979803 1078773 1197537 2048679 2503941 2730123 3236319 3592611 3955501 7511823 8190369 8270593 9181117 9708957 10777833 11866503 22535469 24811779 27543351 35599509 43510511 74435337 82630053 90976523 106798527 130531533 223306011 247890159 272929569 391594599 818788707 1000741753 1174783797 2456366121 3002225259 9006675777 27020027331