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272030031 = 327133747191
BaseRepresentation
bin10000001101101…
…101100101001111
3200221212120001100
4100031231211033
51024114430111
642554314143
76512134320
oct2015554517
9627776040
10272030031
1112a610209
1277128953
1344486b20
14281b2447
1518d36756
hex1036d94f

272030031 has 96 divisors (see below), whose sum is σ = 509902848. Its totient is φ = 135924480.

The previous prime is 272030027. The next prime is 272030041. The reversal of 272030031 is 130030272.

It is not a de Polignac number, because 272030031 - 22 = 272030027 is a prime.

It is a super-2 number, since 2×2720300312 = 148000675531721922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 272029986 and 272030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272030041) 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, 1424146 + ... + 1424336.

It is an arithmetic number, because the mean of its divisors is an integer number (5311488).

Almost surely, 2272030031 is an apocalyptic number.

272030031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

272030031 is a deficient number, since it is larger than the sum of its proper divisors (237872817).

272030031 is a wasteful number, since it uses less digits than its factorization.

272030031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 272030031 is about 16493.3329257612. The cubic root of 272030031 is about 647.9462046677.

The spelling of 272030031 in words is "two hundred seventy-two million, thirty thousand, thirty-one".

Divisors: 1 3 7 9 13 21 37 39 47 63 91 111 117 141 191 259 273 329 333 423 481 573 611 777 819 987 1337 1443 1719 1739 1833 2331 2483 2961 3367 4011 4277 4329 5217 5499 7067 7449 8977 10101 12033 12173 12831 15651 17381 21201 22347 22607 26931 30303 36519 38493 49469 52143 62839 63603 67821 80793 91871 109557 116701 148407 156429 158249 188517 203463 275613 332149 350103 445221 474747 565551 643097 816907 826839 996447 1050309 1424241 1929291 2325043 2450721 2989341 4317937 5787873 6975129 7352163 12953811 20925387 30225559 38861433 90676677 272030031