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334112200033230 = 232573347146553937
BaseRepresentation
bin100101111110111111000111…
…0111111111000001111001110
31121210222210222200111021212200
41023331332032333320033032
5322243043241202030410
63142333005321342330
7130242544532551053
oct11375761677701716
91553883880437780
10334112200033230
11975052086a4833
12315812239379a6
13114578508801a8
145c7118c59102a
1528960599123c0
hex12fdf8eff83ce

334112200033230 has 96 divisors (see below), whose sum is σ = 883129340661984. Its totient is φ = 87622839687168.

The previous prime is 334112200033219. The next prime is 334112200033309. The reversal of 334112200033230 is 32330002211433.

334112200033230 is a `hidden beast` number, since 3 + 3 + 411 + 220 + 0 + 0 + 3 + 3 + 23 + 0 = 666.

It is a super-2 number, since 2×3341122000332302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334112200033194 and 334112200033203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70997179 + ... + 75556758.

It is an arithmetic number, because the mean of its divisors is an integer number (9199263965229).

Almost surely, 2334112200033230 is an apocalyptic number.

334112200033230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

334112200033230 is an abundant number, since it is smaller than the sum of its proper divisors (549017140628754).

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

334112200033230 is a wasteful number, since it uses less digits than its factorization.

334112200033230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146554370 (or 146554367 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 334112200033230 its reverse (32330002211433), we get a palindrome (366442202244663).

The spelling of 334112200033230 in words is "three hundred thirty-four trillion, one hundred twelve billion, two hundred million, thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 347 365 438 657 694 730 1041 1095 1314 1735 2082 2190 3123 3285 3470 5205 6246 6570 10410 15615 25331 31230 50662 75993 126655 151986 227979 253310 379965 455958 759930 1139895 2279790 146553937 293107874 439661811 732769685 879323622 1318985433 1465539370 2198309055 2637970866 4396618110 6594927165 10698437401 13189854330 21396874802 32095312203 50854216139 53492187005 64190624406 96285936609 101708432278 106984374010 152562648417 160476561015 192571873218 254271080695 305125296834 320953122030 457687945251 481429683045 508542161390 762813242085 915375890502 962859366090 1525626484170 2288439726255 3712357778147 4576879452510 7424715556294 11137073334441 18561788890735 22274146668882 33411220003323 37123577781470 55685366672205 66822440006646 111370733344410 167056100016615 334112200033230