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30015102254100 = 223521923922032667
BaseRepresentation
bin1101101001100011011111…
…00000011111110000010100
310221021102020002020202102120
412310301233200133300110
512413231412134112400
6143500425252535540
76215343133416435
oct664615740376024
9127242202222376
1030015102254100
119622373804097
1234491650215b0
13139954820aa92
1475aa4adcb48c
15370b65a8aca0
hex1b4c6f81fc14

30015102254100 has 144 divisors (see below), whose sum is σ = 91796907955200. Its totient is φ = 7551035291520.

The previous prime is 30015102254089. The next prime is 30015102254141. The reversal of 30015102254100 is 145220151003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9654034 + ... + 12378633.

Almost surely, 230015102254100 is an apocalyptic number.

30015102254100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30015102254100 is an abundant number, since it is smaller than the sum of its proper divisors (61781805701100).

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

30015102254100 is a wasteful number, since it uses less digits than its factorization.

30015102254100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032942 (or 22032935 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 30015102254100 in words is "thirty trillion, fifteen billion, one hundred two million, two hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 239 285 300 380 475 478 570 717 950 956 1140 1195 1425 1434 1900 2390 2850 2868 3585 4541 4780 5700 5975 7170 9082 11950 13623 14340 17925 18164 22705 23900 27246 35850 45410 54492 68115 71700 90820 113525 136230 227050 272460 340575 454100 681150 1362300 22032667 44065334 66098001 88130668 110163335 132196002 220326670 264392004 330490005 418620673 440653340 550816675 660980010 837241346 1101633350 1255862019 1321960020 1652450025 1674482692 2093103365 2203266700 2511724038 3304900050 4186206730 5023448076 5265807413 6279310095 6609800100 8372413460 10465516825 10531614826 12558620190 15797422239 20931033650 21063229652 25117240380 26329037065 31396550475 31594844478 41862067300 52658074130 62793100950 63189688956 78987111195 100050340847 105316148260 125586201900 131645185325 157974222390 200100681694 263290370650 300151022541 315948444780 394935555975 400201363388 500251704235 526580741300 600302045082 789871111950 1000503408470 1200604090164 1500755112705 1579742223900 2001006816940 2501258521175 3001510225410 5002517042350 6003020450820 7503775563525 10005034084700 15007551127050 30015102254100