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331026540330 = 2351131733891451
BaseRepresentation
bin1001101000100101011…
…10000010011100101010
31011122102210211120201110
410310102232002130222
520410420243242310
6412023235331150
732626101111213
oct4642256023452
91148383746643
10331026540330
11118429941272
12541a4150ab6
13252a5a94205
1412043a4640a
1589264acd20
hex4d12b8272a

331026540330 has 128 divisors (see below), whose sum is σ = 808756565760. Its totient is φ = 86703411200.

The previous prime is 331026540319. The next prime is 331026540331. The reversal of 331026540330 is 33045620133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (331026540331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 228136105 + ... + 228137555.

It is an arithmetic number, because the mean of its divisors is an integer number (6318410670).

Almost surely, 2331026540330 is an apocalyptic number.

331026540330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331026540330 is an abundant number, since it is smaller than the sum of its proper divisors (477730025430).

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

331026540330 is a wasteful number, since it uses less digits than its factorization.

331026540330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136.

The product of its (nonzero) digits is 19440, while the sum is 30.

The spelling of 331026540330 in words is "three hundred thirty-one billion, twenty-six million, five hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 113 173 226 339 346 389 519 565 678 778 865 1038 1130 1167 1451 1695 1730 1945 2334 2595 2902 3390 3890 4353 5190 5835 7255 8706 11670 14510 19549 21765 39098 43530 43957 58647 67297 87914 97745 117294 131871 134594 163963 195490 201891 219785 251023 263742 293235 327926 336485 403782 439570 491889 502046 564439 586470 659355 672970 753069 819815 983778 1009455 1128878 1255115 1318710 1506138 1639630 1693317 2018910 2459445 2510230 2822195 3386634 3765345 4918890 5644390 7530690 7604561 8466585 15209122 16933170 22813683 28365599 38022805 45627366 56731198 63781607 76045610 85096797 97647947 114068415 127563214 141827995 170193594 191344821 195295894 228136830 283655990 292943841 318908035 382689642 425483985 488239735 585887682 637816070 850967970 956724105 976479470 1464719205 1913448210 2929438410 11034218011 22068436022 33102654033 55171090055 66205308066 110342180110 165513270165 331026540330