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30023331321312 = 2532731480404047
BaseRepresentation
bin1101101001110010110011…
…11111111001010111100000
310221022012110120200200110200
412310321121333321113200
512413400240304240222
6143504310014225200
76216054065346150
oct664713177712740
9127265416620420
1030023331321312
11962590690808a
12344a880ab5200
13139a25a044714
1475b1cbc82760
15370e98232eac
hex1b4e59ff95e0

30023331321312 has 144 divisors (see below), whose sum is σ = 100723434319872. Its totient is φ = 8301381914880.

The previous prime is 30023331321311. The next prime is 30023331321329. The reversal of 30023331321312 is 21312313332003.

30023331321312 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 3 + 331 + 321 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30023331321311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240139528 + ... + 240264519.

It is an arithmetic number, because the mean of its divisors is an integer number (699468293888).

Almost surely, 230023331321312 is an apocalyptic number.

30023331321312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30023331321312 is an abundant number, since it is smaller than the sum of its proper divisors (70700102998560).

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

30023331321312 is a wasteful number, since it uses less digits than its factorization.

30023331321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480404101 (or 480404090 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 30023331321312 its reverse (21312313332003), we get a palindrome (51335644653315).

The spelling of 30023331321312 in words is "thirty trillion, twenty-three billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 31248 62496 480404047 960808094 1441212141 1921616188 2882424282 3362828329 3843232376 4323636423 5764848564 6725656658 7686464752 8647272846 10088484987 11529697128 13451313316 14892525457 15372929504 17294545692 20176969974 23059394256 26902626632 29785050914 30265454961 34589091384 40353939948 44677576371 46118788512 53805253264 59570101828 60530909922 69178182768 80707879896 89355152742 104247678199 107610506528 119140203656 121061819844 134032729113 138356365536 161415759792 178710305484 208495356398 238280407312 242123639688 268065458226 312743034597 322831519584 357420610968 416990712796 476560814624 484247279376 536130916452 625486069194 714841221936 833981425592 938229103791 968494558752 1072261832904 1250972138388 1429682443872 1667962851184 1876458207582 2144523665808 2501944276776 3335925702368 3752916415164 4289047331616 5003888553552 7505832830328 10007777107104 15011665660656 30023331321312